Minimal characters of p-groups

DOI10.1515/jgth.1999.016zbMath0940.20014OpenAlexW2059078190MaRDI QIDQ4256985

Avinoam Mann

Publication date: 2 November 1999

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

Full work available at URL: https://doi.org/10.1515/jgth.1999.016

zbMATH Keywords

irreducible characterscharacter degreeslower central serieslinear charactersisoclinism familiesstem groupsfinite nonabelian \(p\)-groupsminimal characters

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15)

Related Items (10)

Character degrees, character codegrees and nilpotence class of p-groups ⋮ Character degrees of finite \(p\)-groups by coclass. ⋮ Minimal faithful quasi-permutation representation degree of \(p\)-groups with cyclic center ⋮ Groups with two extreme character degrees and their normal subgroups ⋮ Counting classes and characters of groups of prime exponent. ⋮ Normally monomial \(p\)-groups. ⋮ Generalizing Camina groups and their character tables ⋮ The breadth-degree type of a finite \(p\)-group ⋮ Minimal classes and maximal class in \(p\)-groups ⋮ Character degrees and nilpotence class of finite 𝑝-groups: An approach via pro-𝑝 groups

Cites Work

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• The Dilworth number of subgroup lattices
• On \(p\)-groups of Frobenius type
• Gruppen mit kleinen abelschen Untergruppen
• SOME NORMALLY MONOMIAL p-GROUPS OF MAXIMAL CLASS AND LARGE DERIVED LENGTH
• Enumeration within Isoclinism Classes of Groups of Prime Power Order
• Endliche Gruppen I

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