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Commuting probability and simultaneous conjugacy classes of commuting tuples in a group

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arxiv 2002.01253 v1 pith:AFGILWZU submitted 2020-02-04 math.GR

Uday Bhaskar Sharma , Anupam Singh This is my paper · ORCID
classification math.GR
keywords commutinggroupclassesconjugacyprobabilitysimultaneoustuplesarticle
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abstract

Let $G$ be a finite group. This expository article explores the subject of commuting probability in the group $G$ and its relation with simultaneous conjugacy classes of commuting tuples in $G$. We also point out the relevance of this topic in context of topology where similar problems are studied when $G$ is a Lie group.

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