Some bounds for relative autocommutativity degree

DOI10.22199/ISSN.0717-6279-2020-03-0042zbMath1454.20129OpenAlexW3034147238MaRDI QIDQ5145910

Parama Dutta, Rajat Kanti Nath

Publication date: 22 January 2021

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22199/issn.0717-6279-2020-03-0042

zbMATH Keywords

automorphism groupautoisoclinismautocommutativity degree

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?
• Probability that an autocommutator element of a finite group equals to a fixed element
• On the Relative Commutativity Degree of a Subgroup of a Finite Group
• The classification of prime-power groups.

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