What is it about?

This paper give the lower bound of the number of nonabelian subgroups of finite p-groups is given in this paper, and classify the finite p-groups such that the number of nonabelian subgroups of possible order are exactly the lower bound.

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Why is it important?

The lower bound of the number of nonabelian subgroups of finite p-groups is firstly given. This is a beginning on the study the rules of the number of nonabelian subgroups of a finite p-groups.

Perspectives

I hope this article will inspire the group scholars' interesting on rules of the number of nonabelian subgroups of a finite p-groups.

Junqiang Zhang
Shanxi Normal University

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This page is a summary of: The lower bound of the number of nonabelian subgroups of finite p-groups, Communications in Algebra, May 2019, Taylor & Francis,
DOI: 10.1080/00927872.2019.1612420.
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