Finite groups with five relative commutativity degrees

DOI10.1007/S00025-021-01591-3OpenAlexW4205537177MaRDI QIDQ2073677

Mohammad Farrokhi D. G.

Publication date: 3 February 2022

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.04550

zbMATH Keywords

chain of subgroupsrelative commutativity degree

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Series and lattices of subgroups (20D30) Nilpotent groups (20F18) Probabilistic methods in group theory (20P05)

Cites Work

• On the commuting probability and supersolvability of finite groups.
• Finite groups with three relative commutativity degrees.
• What is the probability that two elements of a finite group commute?
• Isoclinism classes and commutativity degrees of finite groups
• On the commuting probability in finite groups.
• Limit points in the range of the commuting probability function on finite groups
• Finite Groups with Four Relative Commutativity Degrees
• Commuting probabilities of finite groups
• What is the Probability that Two Group Elements Commute?
• Subgroups with large relative commutativity degree
• COMMUTATIVITY DEGREES OF WREATH PRODUCTS OF FINITE ABELIAN GROUPS
• On the Relative Commutativity Degree of a Subgroup of a Finite Group
• Some Supersolvability Conditions for Finite Groups
• On some problems of a statistical group-theory. IV
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