All Stories

  1. On solvable groups with one vanishing class size

    Article • Proceedings of the Royal Society of Edinburgh Section A Mathematics, September 2020, Cambridge University Press

    Dr. Mark L Lewis

  2. Solvable groups whose character degree graphs generalize squares

    Article • Journal of Group Theory, March 2020, De Gruyter

    Dr. Mark L Lewis

  3. DEGREES OF BRAUER CHARACTERS AND NORMAL SYLOW -SUBGROUPS

    Article • Bulletin of the Australian Mathematical Society, January 2020, Cambridge University Press

    Dr. Mark L Lewis

  4. Groups where the centers of the irreducible characters form a chain II

    Article • Monatshefte für Mathematik, January 2020, Springer Science + Business Media

    Dr. Mark L Lewis

  5. Groups with vanishing class size

    Article • Journal of Group Theory, January 2020, De Gruyter

    Dr. Mark L Lewis

  6. Groups where the centers of the irreducible characters form a chain

    Article • Monatshefte für Mathematik, January 2020, Springer Science + Business Media

    Dr. Mark L Lewis

  7. MONOLITHIC BRAUER CHARACTERS

    Article • Bulletin of the Australian Mathematical Society, March 2019, Cambridge University Press

    Dr. Mark L Lewis

  8. Classifying character degree graphs with six vertices

    Article • Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, February 2019, Springer Science + Business Media

    Dr. Mark L Lewis

  9. SQUARES OF DEGREES OF BRAUER CHARACTERS AND MONOMIAL BRAUER CHARACTERS

    Article • Bulletin of the Australian Mathematical Society, January 2019, Cambridge University Press

    Dr. Mark L Lewis

  10. Generalizing Baer’s norm

    Article • Journal of Group Theory, January 2019, De Gruyter

    Dr. Mark L Lewis

  11. Supercharacter theories of semiextraspecial p -groups and Frobenius groups

    Article • Journal of Algebra, June 2018, Elsevier

    Dr. Mark L Lewis

  12. Centralizers of Camina p-groups of nilpotence class 3

    Article • Journal of Group Theory, October 2017, De Gruyter

    Dr. Mark L Lewis

  13. ITÔ’S THEOREM AND MONOMIAL BRAUER CHARACTERS II

    Article • Bulletin of the Australian Mathematical Society, October 2017, Cambridge University Press

    Dr. Mark L Lewis

  14. The prime-power hypothesis and solvable groups

    Article • Archiv der Mathematik, August 2017, Springer Science + Business Media

    Dr. Mark L Lewis

  15. ITÔ’S THEOREM AND MONOMIAL BRAUER CHARACTERS

    Article • Bulletin of the Australian Mathematical Society, June 2017, Cambridge University Press

    Dr. Mark L Lewis

  16. Fitting heights of solvable groups with no nontrivial prime power character degrees

    Article • Publicationes Mathematicae Debrecen, April 2017, University of Debrecen/ Debreceni Egyetem

    Dr. Mark L Lewis

  17. Brauer characters of $q’$- degree

    Article • Proceedings of the American Mathematical Society, January 2017, American Mathematical Society (AMS)

    Dr. Mark L Lewis

  18. Blocks of small defect in alternating groups and squares of Brauer character degrees

    Article • Journal of Group Theory, January 2017, De Gruyter

    Dr. Mark L Lewis

  19. LANDAU’S THEOREM, FIELDS OF VALUES FOR CHARACTERS, AND SOLVABLE GROUPS

    Article • Journal of the Australian Mathematical Society, December 2016, Cambridge University Press

    Dr. Mark L Lewis

  20. Nonsolvable Groups with no Prime Dividing Four Character Degrees

    Article • Algebras and Representation Theory, November 2016, Springer Science + Business Media

    Dr. Mark L Lewis

  21. Groups with exactly two supercharacter theories

    Article • Communications in Algebra, October 2016, Taylor & Francis

    Dr. Mark L Lewis

  22. Variations on average character degrees and p-nilpotence

    Article • Israel Journal of Mathematics, September 2016, Springer Science + Business Media

    Dr. Mark L Lewis

  23. Derived length when a product of characters has two nonprincipal irreducible constituents

    Article • Journal of Algebra and Its Applications, August 2016, World Scientific Pub Co Pte Lt

    Dr. Mark L Lewis

  24. The two-prime hypothesis: groups whose nonabelian composition factors are not isomorphic to $${{\mathrm{PSL}}}_2(q)$$ ...

    Article • Monatshefte für Mathematik, July 2016, Springer Science + Business Media

    Dr. Mark L Lewis

  25. Codegrees

    Article • Journal of Group Theory, January 2016, De Gruyter

    Dr. Mark L Lewis

  26. Bounding the diameter of the Brauer graph of a block of a solvable group

    Article • Proceedings of the Edinburgh Mathematical Society, December 2015, Cambridge University Press

    Dr. Mark L Lewis

  27. Simple groups and the two-prime hypothesis

    Article • Monatshefte für Mathematik, November 2015, Springer Science + Business Media

    Dr. Mark L Lewis

  28. Finite Groups with a Given Set of Character Degrees

    Article • Algebras and Representation Theory, November 2015, Springer Science + Business Media

    Dr. Mark L Lewis

  29. A characterization of the prime graphs of solvable groups

    Article • Journal of Algebra, November 2015, Elsevier

    Dr. Mark L Lewis

  30. Finite groups with an irreducible character of large degree

    Article • manuscripta mathematica, October 2015, Springer Science + Business Media

    Dr. Mark L Lewis

  31. p-parts of character degrees

    Article • Journal of the London Mathematical Society, August 2015, Oxford University Press (OUP)

    Dr. Mark L Lewis

  32. Groups with Four Character Degrees and Derived Length Four

    Article • Communications in Algebra, July 2015, Taylor & Francis

    Dr. Mark L Lewis

  33. Common Divisor Character Degree Graphs of Solvable Groups with Four Vertices

    Article • Communications in Algebra, July 2015, Taylor & Francis

    Dr. Mark L Lewis

  34. The Taketa Problem and Character Degree Graphs with Diameter Three

    Article • Algebras and Representation Theory, June 2015, Springer Science + Business Media

    Dr. Mark L Lewis

  35. CAMINA p-groups that are generalized Frobenius complements

    Article • Archiv der Mathematik, April 2015, Springer Science + Business Media

    Dr. Mark L Lewis

  36. The character degree ratio and composition factors of a finite group

    Article • Monatshefte für Mathematik, March 2015, Springer Science + Business Media

    Dr. Mark L Lewis

  37. Erratum on "Classifying Camina groups: A theorem of Dark and Scoppola"

    Article • Rocky Mountain Journal of Mathematics, February 2015, Rocky Mountain Mathematics Consortium

    Dr. Mark L Lewis

  38. Camina pairs that are not p-closed

    Article • Israel Journal of Mathematics, December 2014, Springer Science + Business Media

    Dr. Mark L Lewis

  39. On Graphs Associated with Character Degrees and Conjugacy Class Sizes of Direct Products of Finite Groups

    Article • Canadian Mathematical Bulletin, November 2014, Canadian Mathematical Society

    Dr. Mark L Lewis

  40. On the Existence of Johnson Polynomials for Nilpotent Groups

    Article • Algebras and Representation Theory, August 2014, Springer Science + Business Media

    Dr. Mark L Lewis

  41. p-Parts of character degrees and the index of the Fitting subgroup

    Article • Journal of Algebra, August 2014, Elsevier

    Dr. Mark L Lewis

  42. Groups with exactly one irreducible character of degree divisible byp

    Article • Algebra & Number Theory, May 2014, Mathematical Sciences Publishers

    Dr. Mark L Lewis

  43. Classifying Camina groups: A theorem of Dark and Scoppola

    Article • Rocky Mountain Journal of Mathematics, April 2014, Rocky Mountain Mathematics Consortium

    Dr. Mark L Lewis

  44. BOUNDING THE NUMBER OF IRREDUCIBLE CHARACTER DEGREES OF A FINITE GROUP IN TERMS OF THE LARGEST DEGREE

    Article • Journal of Algebra and Its Applications, March 2014, World Scientific Pub Co Pte Lt

    Dr. Mark L Lewis

  45. Bounding an Index by the Largest Character Degree of ap-Solvable Group

    Article • Communications in Algebra, January 2014, Taylor & Francis

    Dr. Mark L Lewis

  46. Bounding group orders by large character degrees: A question of Snyder

    Article • Journal of Group Theory, January 2014, De Gruyter

    Dr. Mark L Lewis

  47. Groups which do not possess characters of nontrivial prime power degree

    Article • Journal of Group Theory, January 2014, De Gruyter

    Dr. Mark L Lewis

  48. Induction and restriction of characters and Hall subgroups

    Article • Journal of Algebra, June 2013, Elsevier

    Dr. Mark L Lewis

  49. Four-vertex degree graphs of nonsolvable groups

    Article • Journal of Algebra, March 2013, Elsevier

    Dr. Mark L Lewis

  50. Taketa’s theorem for some character degree sets

    Article • Archiv der Mathematik, March 2013, Springer Science + Business Media

    Dr. Mark L Lewis

  51. Lifts and vertex pairs in solvable groups

    Article • Proceedings of the Edinburgh Mathematical Society, January 2012, Cambridge University Press

    Dr. Mark L Lewis

  52. On p-group Camina pairs

    Article • Journal of Group Theory, January 2012, De Gruyter

    Dr. Mark L Lewis

  53. Isomorphism in expanding families of indistinguishable groups

    Article • journal of Groups complexity cryptology, January 2012, De Gruyter

    Dr. Mark L Lewis

  54. Square character degree graphs yield direct products

    Article • Journal of Algebra, January 2012, Elsevier

    Dr. Mark L Lewis

  55. Nonsolvable groups with no prime dividing three character degrees

    Article • Journal of Algebra, June 2011, Elsevier

    Dr. Mark L Lewis

  56. Solvable Groups Satisfying the Two-Prime Hypothesis II

    Article • Algebras and Representation Theory, May 2011, Springer Science + Business Media

    Dr. Mark L Lewis

  57. Nonsolvable Groups All of Whose Character Degrees are Odd-Square-Free

    Article • Communications in Algebra, March 2011, Taylor & Francis

    Dr. Mark L Lewis

  58. The number of lifts of a Brauer character with a normal vertex

    Article • Journal of Algebra, February 2011, Elsevier

    Dr. Mark L Lewis

  59. Inductive pairs and lifts in solvable groups

    Article • Journal of Group Theory, January 2011, De Gruyter

    Dr. Mark L Lewis

  60. LIFTS OF PARTIAL CHARACTERS WITH CYCLIC DEFECT GROUPS

    Article • Journal of the Australian Mathematical Society, October 2010, Cambridge University Press

    Dr. Mark L Lewis

  61. A CONDITION IN FINITE SOLVABLE GROUPS RELATED TO CYCLIC SUBGROUPS

    Article • Bulletin of the Australian Mathematical Society, September 2010, Cambridge University Press

    Dr. Mark L Lewis

  62. Groups where all the irreducible characters are super-monomial

    Article • Proceedings of the American Mathematical Society, January 2010, American Mathematical Society (AMS)

    Dr. Mark L Lewis

  63. Lifts of Partial Characters with Respect to a Chain of Normal Subgroups

    Article • Algebras and Representation Theory, November 2009, Springer Science + Business Media

    Dr. Mark L Lewis

  64. Corrigendum to “Determining group structure from sets of irreducible character degrees” [J. Algebra 206 (1) (1998) 235–260]

    Article • Journal of Algebra, September 2009, Elsevier

    Dr. Mark L Lewis

  65. A GROUP WITH THREE REAL IRREDUCIBLE CHARACTERS: ANSWERING A QUESTION OF MORETÓ AND NAVARRO

    Article • Journal of Algebra and Its Applications, August 2009, World Scientific Pub Co Pte Lt

    Dr. Mark L Lewis

  66. Character tables of groups where all nonlinear irreducible characters vanish off the center

    Article • July 2009, World Scientific Pub Co Pte Lt

    Dr. Mark L Lewis

  67. Counting the Number of Nonlinear Irreducible Characters of a Finite Group

    Article • Communications in Algebra, May 2009, Taylor & Francis

    Dr. Mark L Lewis

  68. Erratum to “The vanishing-off subgroup” [J. Algebra 321 (4) (2009) 1313–1325]

    Article • Journal of Algebra, April 2009, Elsevier

    Dr. Mark L Lewis

  69. Nuclei and Lifts of π-Partial Characters

    Article • Algebra Colloquium, March 2009, World Scientific Pub Co Pte Lt

    Dr. Mark L Lewis

  70. The vanishing-off subgroup

    Article • Journal of Algebra, February 2009, Elsevier

    Dr. Mark L Lewis

  71. Brauer pairs of Camina p-groups of nilpotence class 2

    Article • Archiv der Mathematik, February 2009, Springer Science + Business Media

    Dr. Mark L Lewis

  72. Generalizing Camina groups and their character tables

    Article • Journal of Group Theory, January 2009, De Gruyter

    Dr. Mark L Lewis

  73. Character degree graphs of automorphism groups of characteristically simple groups

    Article • Journal of Group Theory, January 2009, De Gruyter

    Dr. Mark L Lewis

  74. Subnormal Inductive Sources and π-Partial Characters

    Article • Algebra Colloquium, September 2008, World Scientific Pub Co Pte Lt

    Dr. Mark L Lewis

  75. An Overview of Graphs Associated with Character Degrees And Conjugacy Class Sizes in Finite Groups

    Article • Rocky Mountain Journal of Mathematics, February 2008, Rocky Mountain Mathematics Consortium

    Dr. Mark L Lewis

  76. Fong characters and chains of normal subgroups

    Article • Archiv der Mathematik, August 2007, Springer Science + Business Media

    Dr. Mark L Lewis

  77. GENERALIZING A THEOREM OF HUPPERT AND MANZ

    Article • Journal of Algebra and Its Applications, August 2007, World Scientific Pub Co Pte Lt

    Dr. Mark L Lewis

  78. Diameters of degree graphs of nonsolvable groups, II

    Article • Journal of Algebra, June 2007, Elsevier

    Dr. Mark L Lewis

  79. Nonsolvable Groups Satisfying the One-prime Hypothesis

    Article • Algebras and Representation Theory, April 2007, Springer Science + Business Media

    Dr. Mark L Lewis

  80. Article • Proceedings of the American Mathematical Society, March 2007, American Mathematical Society (AMS)

    Dr. Mark L Lewis

  81. Induction and Restriction of Lifts of π-Partial Characters

    Article • Algebra Colloquium, December 2006, World Scientific Pub Co Pte Lt

    Dr. Mark L Lewis

  82. Transitive permutation groups in which all derangements are involutions

    Article • Journal of Pure and Applied Algebra, November 2006, Elsevier

    Dr. Mark L Lewis

  83. M-GROUPS OF ORDER paqb: A THEOREM OF LOUKAKI

    Article • Journal of Algebra and Its Applications, August 2006, World Scientific Pub Co Pte Lt

    Dr. Mark L Lewis

  84. OBTAINING NUCLEI FROM CHAINS OF NORMAL SUBGROUPS

    Article • Journal of Algebra and Its Applications, April 2006, World Scientific Pub Co Pte Lt

    Dr. Mark L Lewis

  85. Character Degree Graphs of Solvable Groups of Fitting Height $2$

    Article • Canadian Mathematical Bulletin, March 2006, Canadian Mathematical Society

    Dr. Mark L Lewis

  86. The Number of Irreducible Character Degrees of Solvable Groups Satisfying the One-Prime Hypothesis

    Article • Algebras and Representation Theory, October 2005, Springer Science + Business Media

    Dr. Mark L Lewis

  87. Disconnectedness and Diameters of Degree Graphs Associated with Normal Subgroups#

    Article • Communications in Algebra, September 2005, Taylor & Francis

    Dr. Mark L Lewis

  88. Corrigendum to “Connectedness of degree graphs of nonsolvable groups” [J. Algebra 266 (2003) 51–76]

    Article • Journal of Algebra, August 2005, Elsevier

    Dr. Mark L Lewis

  89. Non-divisibility among character degrees

    Article • Journal of Group Theory, January 2005, De Gruyter

    Dr. Mark L Lewis

  90. Diameters of degree graphs of nonsolvable groups

    Article • Journal of Algebra, January 2005, Elsevier

    Dr. Mark L Lewis

  91. Inductive sources and subnormal subgroups

    Article • Archiv der Mathematik, September 2004, Springer Science + Business Media

    Dr. Mark L Lewis

  92. Connectedness of degree graphs of nonsolvable groups

    Article • Journal of Algebra, August 2003, Elsevier

    Dr. Mark L Lewis

  93. A graph associated with the $\pi$-character degrees of a group

    Article • Archiv der Mathematik, June 2003, Springer Science + Business Media

    Dr. Mark L Lewis

  94. SOLVABLE GROUPS WITH CHARACTER DEGREE GRAPHS HAVING 5 VERTICES AND DIAMETER 3

    Article • Communications in Algebra, December 2002, Taylor & Francis

    Dr. Mark L Lewis

  95. Article • Proceedings of the American Mathematical Society, March 2002, American Mathematical Society (AMS)

    Dr. Mark L Lewis

  96. Article • Algebras and Representation Theory, January 2002, Springer Science + Business Media

    Dr. Mark L Lewis

  97. Affine Semi-linear Groups with Three Irreducible Character Degrees

    Article • Journal of Algebra, December 2001, Elsevier

    Dr. Mark L Lewis

  98. Bounding Fitting Heights of Character Degree Graphs

    Article • Journal of Algebra, August 2001, Elsevier

    Dr. Mark L Lewis

  99. DERIVED LENGTHS OF SOLVABLE GROUPS SATISFYING THE ONE-PRIME HYPOTHESIS. II

    Article • Communications in Algebra, April 2001, Taylor & Francis

    Dr. Mark L Lewis

  100. DERIVED LENGTHS OF SOLVABLE GROUPS SATISFYING THE ONE-PRIME HYPOTHESIS. III

    Article • Communications in Algebra, January 2001, Taylor & Francis

    Dr. Mark L Lewis

  101. Article • Algebras and Representation Theory, January 2001, Springer Science + Business Media

    Dr. Mark L Lewis

  102. A character theoretic condition characterizing nilpotent groups

    Article • Communications in Algebra, January 1999, Taylor & Francis

    Dr. Mark L Lewis

  103. Irreducible Character Degree Sets of Solvable Groups

    Article • Journal of Algebra, August 1998, Elsevier

    Dr. Mark L Lewis

  104. Determining Group Structure from Sets of Irreducible Character Degrees

    Article • Journal of Algebra, August 1998, Elsevier

    Dr. Mark L Lewis

  105. Derived lengths of solvable groups satisfying the one-prime hypothesis

    Article • Communications in Algebra, January 1998, Taylor & Francis

    Dr. Mark L Lewis

  106. Characters, coprime actions, and operator groups

    Article • Archiv der Mathematik, December 1997, Springer Science + Business Media

    Dr. Mark L Lewis

  107. Character correspondences and nilpotent fully-ramified sections

    Article • Communications in Algebra, January 1997, Taylor & Francis

    Dr. Mark L Lewis

  108. A Family of Groups Containing a Nonabelian Fully Ramified Section

    Article • Journal of Algebra, December 1996, Elsevier

    Dr. Mark L Lewis

  109. Nonabelian fully-ramified sections

    Article • Canadian Journal of Mathematics, October 1996, Canadian Mathematical Society

    Dr. Mark L Lewis

  110. Characters of Maximal Subgroups ofM-Groups

    Article • Journal of Algebra, August 1996, Elsevier

    Dr. Mark L Lewis

  111. Solvable Groups Having Almost Relatively Prime Distinct Irreducible Character Degrees

    Article • Journal of Algebra, May 1995, Elsevier

    Dr. Mark L Lewis