What is it about?
We'll explore how group actions connect with the creation of topologies, the characterization of normal subgroups, and the continuity of functions. We'll specifically focus on the context of commutation relations, using quaternion groups and the Heisenberg group as key examples.
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Why is it important?
Note that the problem of applying the techniques of this paper to topologies induced by actions of some richer algebraic structures as rings, modules, and algebras, may be considered.
Perspectives
It shows how the algebraic properties of groups (such as their actions and commutation relations) have a direct impact and can be described in terms of topological properties.
Elvis Aponte
Escuela Superior Politecnica del Litoral
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This page is a summary of: Continuous functions on primal topological spaces induced by group actions, AIMS Mathematics, January 2025, Tsinghua University Press,
DOI: 10.3934/math.2025037.
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