Generalizing Camina groups and their character tables

DOI10.1515/JGT.2008.073zbMath1166.20007OpenAlexW1963520767MaRDI QIDQ3619529

Mark L. Lewis

Publication date: 8 April 2009

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2008.073

zbMATH Keywords

conjugacy classesfinite groupsirreducible characterscharacter tablesCamina groupsisoclinism

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) Finite nilpotent groups, (p)-groups (20D15)

Related Items (9)

On faithful quasi-permutation representations of VZ-groups and Camina p-groups ⋮ Groups where the centers of the irreducible characters form a chain ⋮ On the irreducible characters of Suzuki p-groups ⋮ Centralizers of Camina \(p\)-groups of nilpotence class 3 ⋮ Locally finite groups with finitely many isomorphism classes of derived subgroups. ⋮ GVZ-groups, flat groups, and CM-groups ⋮ The vanishing-off subgroup. ⋮ Frobenius REA-groups and their Cayley graphs ⋮ Camina triples and the wedge product of association schemes

Cites Work

• Some finite groups with large conjugacy classes
• Character tables of \(p\)-groups with derived subgroup of prime order. I.
• More on \(p\)-groups of Frobenius type
• Some p-groups of Frobenius and extra-special type
• On Camina groups of prime power order
• Groups with two extreme character degrees and their normal subgroups
• Character Tables and Metabelian Groups
• Minimal characters of p-groups
• Non-divisibility among character degrees
• The classification of prime-power groups.

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