One-prime power hypothesis for conjugacy class sizes

DOI10.22108/ijgt.2017.12043zbMath1446.20038OpenAlexW2197313615MaRDI QIDQ5124022

Alan R. Camina, Rachel D. Camina

Publication date: 17 September 2020

Full work available at URL: https://doaj.org/article/c29d1eff267a4130864970e6d269bfe7

zbMATH Keywords

finite groupsbipartite graphconjugacy class sizesinsoluble groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite simple groups and their classification (20D05)

Related Items

The prime-power hypothesis and solvable groups

Uses Software

• ATLAS Group Representations

Cites Work

• Unnamed Item
• Bipartite divisor graphs for integer subsets
• Cycles and bipartite graphs on conjugacy class of groups
• On locally finite groups in which every element has prime power order
• Solvable groups having almost relatively prime distinct irreducible character degrees
• Groups with many equal classes
• F-Gruppen. (F-groups)
• THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY
• Implications of conjugacy class size
• Finite groups of conjugate rank 2
• On Finite Groups with Given Conjugate Types I