A Generalization of Commutativity Degree of Finite Groups

DOI10.1080/00927872.2011.568993zbMath1256.20076OpenAlexW2105862086MaRDI QIDQ2903359

Ashish Kumar Das, Rajat Kanti Nath

Publication date: 8 August 2012

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

Full work available at URL: http://dspace.nehu.ac.in/handle/1/9242

zbMATH Keywords

finite groupsconjugacy class sizescharacter theorycommutativity degreesgroup charactersprobability of commuting pairs

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

Signed Hultman numbers and signed generalized commuting probability in finite groups, On IA-isoclinism of groups, A NEW CLASS OF ALMOST MEASURE PRESERVING MAPS ON FINITE SIMPLE GROUPS, On the probability distribution associated to commutator word map in finite groups, A note on the commutativity of groups, Strong subgroup commutativity degree and some recent problems on the commuting probabilities of elements and subgroups, Hultman Numbers and Generalized Commuting Probability in Finite Groups

Cites Work

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• On a lower bound of commutativity degree.
• The Ore conjecture.
• Probability that the commutator of two group elements is equal to a given element.
• Commutator maps, measure preservation, and 𝑇-systems
• On Solutions of a Class of Equations in a Finite Group
• What is the Probability that Two Group Elements Commute?