On relative autocommutativity degree of a subgroup of a finite group
Group Theory
2017-06-20 v1
Abstract
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.
Cite
@article{arxiv.1706.05614,
title = {On relative autocommutativity degree of a subgroup of a finite group},
author = {Parama Dutta and Rajat Kanti Nath},
journal= {arXiv preprint arXiv:1706.05614},
year = {2017}
}