Some bounds for relative autocommutativity degree

Authors

DOI:

https://doi.org/10.22199/issn.0717-6279-2020-03-0042

Keywords:

Autocommutativity degree, Automorphism group

Abstract

We consider the probability that a randomly chosen element of a subgroup of a finite group $G$ is fixed by an automorphism of $G$. We obtain several bounds for this probability and characterize some finite groups with respect to this probability.

Author Biographies

Rajat Kanti Nath, Tezpur University.

Dept. of Mathematical Sciences.

Parama Dutta, Tezpur University.

Dept. of Mathematical Sciences

References

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Published

2020-06-03

How to Cite

[1]
R. K. Nath and P. Dutta, “Some bounds for relative autocommutativity degree”, Proyecciones (Antofagasta, On line), vol. 39, no. 3, pp. 679-691, Jun. 2020.

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Section

Artículos