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arxiv: 1706.05614 · v1 · pith:XHR4Y5UDnew · submitted 2017-06-18 · 🧮 math.GR

On relative autocommutativity degree of a subgroup of a finite group

classification 🧮 math.GR
keywords groupchosenfiniteprobabilityrandomlyresultssubgroupautocommutativity
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In this paper, we consider the probability that a randomly chosen automorphism of a finite group fixes a randomly chosen element of a subgroup of that group. We obtain several new results as well as generalizations and improvements of some existing results on this probability.

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