COMMUTATIVITY DEGREE OF A CLASS OF FINITE GROUPS AND CONSEQUENCES

DOI10.1017/S0004972712001086zbMath1283.20076MaRDI QIDQ2872010

Rajat Kanti Nath

Publication date: 14 January 2014

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finite groupssemidirect productscommutativity degreescommuting probabilityrandom pairs of elements

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Products of subgroups of abstract finite groups (20D40) Probabilistic methods in group theory (20P05)

Related Items (8)

On commuting probability of finite rings ⋮ Unnamed Item ⋮ The Order Product Prime Probability and Commutativity Degree for Some Finite Groups ⋮ Characterization and commuting probability of n-centralizer finite rings ⋮ On asymptotic commutativity degree of finite groups ⋮ Acentralizers of Abelian groups of rank 2 ⋮ On Laplacian energy of non-commuting graphs of finite groups ⋮ Strong subgroup commutativity degree and some recent problems on the commuting probabilities of elements and subgroups

Cites Work

• What is the probability that two elements of a finite group commute?
• Isoclinism classes and commutativity degrees of finite groups
• CENTRAL EXTENSIONS AND COMMUTATIVITY DEGREE
• On Finite Groups with a Given Number of Centralizers
• Counting Centralizers in Finite Groups

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