Groups with few class sizes and the centraliser equality subgroup.

DOI10.1007/BF02771541zbMath1058.20023MaRDI QIDQ1881749

Avinoam Mann

Publication date: 15 October 2004

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite \(p\)-groupsnormal subgroupscentralizersupper central seriesconjugacy class sizescharacteristic subgroupsmetabelian \(p\)-groupsbreadths

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15)

Related Items (9)

THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY ⋮ Central aspects of skew translation quadrangles. I. ⋮ A property of \(p\)-groups of nilpotency class \(p + 1\) related to a theorem of Schur ⋮ CONJUGACY CLASS SIZES IN FINITE GROUPS ⋮ Conjugacy classes of small size in solvable groups ⋮ A new characteristic subgroup of a \(p\)-stable group. ⋮ On a conjecture of A. Mann ⋮ On \(p\)-groups having the minimal number of conjugacy classes of maximal size. ⋮ Elements of minimal breadth in finite p-groups and lie algebras

Cites Work

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• Class and Breadth of a Finite p -Group
• Finite P-groups with unique maximal classes
• Space Groups and Groups of Prime Power order VII. Powerful p -Groups and Uncovered p -Groups
• On the H p -Problem for Finite p-Groups
• Endliche Gruppen I
• A Note on Finite Metabelian p-Groups
• On Finite Groups with Given Conjugate Types I
• Conjugacy classes in finite groups

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