Large centralizers in finite solvable groups

DOI10.1007/BF02760607zbMath0548.20012MaRDI QIDQ799793

Edward A. Bertram

Publication date: 1984

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

zbMATH Keywords

Frobenius groupmetabelian groupsnon-abelian solvable group

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (9)

Solvable groups contain large centralizers ⋮ Finite soluble groups have large centralisers ⋮ On the number of conjugacy classes in a finite group ⋮ On conjugacy classes in finite loops ⋮ Lower bounds for the number of conjugacy classes in finite solvable groups ⋮ New lower bounds for the number of conjugacy classes in finite nilpotent groups ⋮ NEW REDUCTIONS AND LOGARITHMIC LOWER BOUNDS FOR THE NUMBER OF CONJUGACY CLASSES IN FINITE GROUPS ⋮ Finite groups contain large centralizers ⋮ Finite groups with large centralizers

Cites Work

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• On groups of even order
• On a special class of \(p\)-groups
• The non-abelian simple groups g, |g| < 10⁶— character tables
• The orders to which only belong metabelian groups
• On Large Cyclic Subgroups of Finite Groups
• Large Abelian Subgroups of p-Groups
• Groups with Relatively Few Non-Linear Irreducible Characters
• Endliche Gruppen I
• Abelian Subgroups of Finite p-Groups

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