Autocommuting probability of a finite group

DOI10.1080/00927872.2017.1332201zbMath1388.20038arXiv1702.00561OpenAlexW2953273265MaRDI QIDQ5745082

Parama Dutta, Rajat Kanti Nath

Publication date: 5 June 2018

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.00561

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)

Related Items (5)

On IA-isoclinism of groups ⋮ Two Quasigroup Elements Can Commute With Any Positive Rational Probability ⋮ On the probability that an automorphism of a group fixes an element of the group ⋮ Generalized autocommuting probability of a finite group relative to its subgroups ⋮ Unnamed Item

Cites Work

• Unnamed Item
• A survey on the estimation of commutativity in finite groups.
• The absolute centre of a group
• Isoclinism classes and commutativity degrees of finite groups
• Probability that the commutator of two group elements is equal to a given element.
• 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
• On some problems of a statistical group-theory. IV

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