Conjugacy class numbers and nilpotent subgroups of finite groups

DOI10.1515/jgth-2023-0263MaRDI QIDQ6634497

Hong Fei Pan, Shu Qin Dong

Publication date: 7 November 2024

Published in: Journal of Group Theory (Search for Journal in Brave)

zbMATH Keywords

conjugacy classnilpotent subgroupaverage conjugacy class size

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

• Unnamed Item
• The largest conjugacy class size and the nilpotent subgroups of finite groups
• Upper bounds for the number of conjugacy classes of a finite group
• The solution of the \(k(GV)\)-problem.
• Two results on the character degree sums
• On the commuting probability in finite groups.
• Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements
• What is the Probability that Two Group Elements Commute?
• The Fitting subgroup of a linear solvable group
• On the commuting probability of \(p\)-elements in a finite group

This page was built for publication: Conjugacy class numbers and nilpotent subgroups of finite groups