Some bounds for relative autocommutativity degree

• Nath, Rajat Kanti ^[1] ; Dutta, Parama ^[1]
  1. [1] Tezpur University

     Tezpur University

     India

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 39, Nº. 3, 2020, págs. 679-691
• Idioma: inglés
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• Resumen

  • 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.