On the probability that an automorphism of a group fixes an element of the group

DOI10.1142/S0219498820501984OpenAlexW2972466808WikidataQ114614550 ScholiaQ114614550MaRDI QIDQ5133847

Ashish Goyal, Hemant Kalra, Deepak Kumar Gumber

Publication date: 11 November 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498820501984

zbMATH Keywords

commutativity degreeautocommutativity degree

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms of abstract finite groups (20D45) Probabilistic methods in group theory (20P05)

Cites Work

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• Groups of prime power order. Vol. 1.
• Isoclinism classes and commutativity degrees of finite groups
• Finite groups with a given absolute central factor group.
• What is the probability an automorphism fixes a group element?
• What is the Probability an Automorphism Fixes a Group Element?
• What is the Probability that Two Group Elements Commute?
• FINITE -GROUPS WITH SMALL AUTOMORPHISM GROUP
• Autocommuting probability of a finite group

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