THE PROBABILITY OF AN AUTOMORPHISM FIXING A SUBGROUP ELEMENT OF A FINITE GROUP

DOI10.1142/S1793557111000241zbMath1228.20059OpenAlexW1984699181MaRDI QIDQ3013880

E. Khamseh, Mohammad Reza R. Moghaddam, Farshid Saeedi

Publication date: 19 July 2011

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557111000241

zbMATH Keywords

finite groupsautomorphismscentralizersprobabilitiespairs of groupscommuting pairs

Mathematics Subject Classification ID

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

Related Items (6)

ON THE CHARACTERISTIC DEGREE OF FINITE GROUPS ⋮ Some bounds for relative autocommutativity degree ⋮ Generalized autocommuting probability of a finite group relative to its subgroups ⋮ Autocommuting probability of a finite group ⋮ Unnamed Item ⋮ Probability that an autocommutator element of a finite group equals to a fixed element

Cites Work

• Isoclinism classes and commutativity degrees of finite groups
• What is the Probability an Automorphism Fixes a Group Element?
• What is the Probability that Two Group Elements Commute?
• On the Relative Commutativity Degree of a Subgroup of a Finite Group
• On some problems of a statistical group-theory. IV

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