On generalized commutativity degree of a finite group.

DOI10.1216/RMJ-2011-41-6-1987zbMath1237.20063MaRDI QIDQ658385

Ashish Kumar Das, Rajat Kanti Nath

Publication date: 12 January 2012

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite groupsconjugacy class sizescommutativity degreesgroup charactersgeneralized commutators

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Probabilistic methods in group theory (20P05)

Related Items (8)

A Generalization of Commutativity Degree of Finite Groups ⋮ Signed Hultman numbers and signed generalized commuting probability in finite groups ⋮ On the probability distribution associated to commutator word map in finite groups ⋮ On IA-isoclinism of groups ⋮ Word problems for finite nilpotent groups ⋮ On the probability distribution associated to commutator word map in finite groups ⋮ Hultman Numbers and Generalized Commuting Probability in Finite Groups ⋮ Probability that an autocommutator element of a finite group equals to a fixed element

Cites Work

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• What is the probability that two elements of a finite group commute?
• Character theory of finite groups
• Probability that the commutator of two group elements is equal to a given element.
• On the commuting probability in finite groups.
• On Arithmetic Functions of Finite Groups
• What is the Probability that Two Group Elements Commute?
• The number of solutions of some equations in finite groups and a new proof of Itô's theorem
• n-Isoclinism Classes and n-Nilpotency Degree of Finite Groups
• How commutative can a non-commutative group be?
• On the Relative Commutativity Degree of a Subgroup of a Finite Group
• The classification of prime-power groups.

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