The structure of finite groups of conjugate rank 2

DOI10.1112/blms/bdp072zbMath1188.20021OpenAlexW2081115703MaRDI QIDQ3646379

Enrico Jabara, Silvio Dolfi

Publication date: 20 November 2009

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

Full work available at URL: https://doi.org/10.1112/blms/bdp072

zbMATH Keywords

conjugacy classesfinite groupsnilpotent groupssolvable groupsconjugate ranks

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) General structure theorems for groups (20E34)

Related Items (13)

THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY ⋮ Structure of \(p\)-complements in groups with three \(p\)-regular class sizes. ⋮ Normal sections, class sizes and solvability of finite groups. ⋮ Nilpotent Lie algebras of breadth type (0, 3) ⋮ Structure of normal subgroups with three \(G\)-class sizes. ⋮ Conjugacy class sizes in arithmetic progression ⋮ An overview on the bipartite divisor graph for the set of irreducible character degrees ⋮ On solvable groups with one vanishing class size ⋮ Cycles and bipartite graphs on conjugacy class of groups ⋮ Finite groups with exactly one composite conjugacy class size ⋮ Determining group structure by set of conjugacy class sizes ⋮ On bipartite divisor graphs for group conjugacy class sizes. ⋮ Groups having complete bipartite divisor graphs for their conjugacy class sizes.

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