On a lower bound of commutativity degree.

DOI10.1007/s12215-010-0010-6zbMath1198.20021OpenAlexW2033032464MaRDI QIDQ977324

Rajat Kanti Nath, Ashish Kumar Das

Publication date: 21 June 2010

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-010-0010-6

zbMATH Keywords

finite \(p\)-groupsconjugacy classes sizescommutativity degrees of finite groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15) Probabilistic methods in group theory (20P05)

Related Items (16)

A Generalization of Commutativity Degree of Finite Groups ⋮ On the probability distribution associated to commutator word map in finite groups ⋮ On commuting probability of finite rings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The Order Product Prime Probability and Commutativity Degree for Some Finite Groups ⋮ A note on square-free commuting probabilities of finite rings ⋮ Characterization and commuting probability of n-centralizer finite rings ⋮ Some bounds for commuting probability of finite rings ⋮ What is the probability an automorphism fixes a group element? ⋮ Some bounds for relative autocommutativity degree ⋮ Generalized autocommuting probability of a finite group relative to its subgroups ⋮ Solvable graphs of finite groups ⋮ Subgroup normality degrees of finite groups. I. ⋮ Some results on relative commutativity degree. ⋮ Strong subgroup commutativity degree and some recent problems on the commuting probabilities of elements and subgroups

Cites Work

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• Probability that the commutator of two group elements is equal to a given element.
• On the commuting probability in finite groups.
• On Certain Groups of Central Type
• What is the Probability that Two Group Elements Commute?
• n-Isoclinism Classes and n-Nilpotency Degree of Finite Groups

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