Lower bounds for the number of conjugacy classes in finite solvable groups

DOI10.1007/BF02776026zbMath0769.20009MaRDI QIDQ1196313

Edward A. Bertram

Publication date: 16 December 1992

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

zbMATH Keywords

derived lengthnumber of conjugacy classesfinite solvable groupnilpotent maximal subgroup

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 (5)

Lower bound for the number of conjugacy classes and irreducible characters ⋮ On the number of conjugacy classes of zeros of characters and the length of solvable groups ⋮ Finite groups have even more conjugacy classes. ⋮ 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

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