CONJUGACY CLASS SIZES OF CERTAIN DIRECT PRODUCTS

DOI10.1017/S0004972711002735zbMath1248.20032OpenAlexW2132730247MaRDI QIDQ5389486

Elisa Maria Tombari, Carlo Casolo

Publication date: 20 April 2012

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

Full work available at URL: https://doi.org/10.1017/s0004972711002735

zbMATH Keywords

conjugacy classesfinite groupsdirect productsconjugacy class sizes

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

Related Items (1)

On \(p\)-index extremal groups

Cites Work

• The theory of finite groups. An introduction.
• On finite \(p\)-groups which have only two conjugacy lengths
• Recognizing direct products from their conjugate type vectors
• Variations on a theorem by Alan Camina on conjugacy class sizes.
• Recognising nilpotent groups.
• Elements of minimal breadth in finite p-groups and lie algebras
• Some class size conditions implying solvability of finite groups
• Implications of conjugacy class size
• Arithmetical Conditions on the Conjugacy Class Numbers of a Finite Group
• On Finite Groups with Given Conjugate Types I
• Finite groups in which \(p'\)-classes have \(q'\)-length

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