Some bounds for relative autocommutativity degree




Autocommutativity degree, Automorphism group


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


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How to Cite

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.