Finite groups in which no two distinct conjugacy classes have the same order

DOI10.1007/BF01198104zbMath0663.20021MaRDI QIDQ1114000

Michael B. Ward

Publication date: 1990

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

conjugacy classesorderclass equationfinite \(\{\) 2,3\(\}\) -group

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (3)

The \(S_ 3\)-conjecture for solvable groups ⋮ On groups with conjugacy classes of distinct sizes. ⋮ Finite groups with exactly two conjugacy classes of the same order

Cites Work

• On finite groups containing an element of order four which commutes only with its powers
• Structure and representations of Q-groups
• On a generalisation of F. M. Markel' theorem
• Groups whose characters are rational-valued
• Groups with many conjugate elements
• On Centralizers of Involutions

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