Generalized autocommuting probability of a finite group relative to its subgroups

DOI10.15672/hujms.568258zbMath1488.20049OpenAlexW2955513653MaRDI QIDQ5159553

Parama Dutta, Rajat Kanti Nath

Publication date: 28 October 2021

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15672/hujms.568258

zbMATH Keywords

automorphism groupautoisoclinismautocommuting probability

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms of abstract finite groups (20D45) Automorphism groups of groups (20F28) Probabilistic methods in group theory (20P05)

Cites Work

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• On a lower bound of commutativity degree.
• The absolute centre of a group
• Some results on relative commutativity degree.
• What is the probability an automorphism fixes a group element?
• THE PROBABILITY OF AN AUTOMORPHISM FIXING A SUBGROUP ELEMENT OF A FINITE GROUP
• What is the Probability an Automorphism Fixes a Group Element?
• Automorphisms of Finite Abelian Groups
• Autocommuting probability of a finite group

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