Character degrees of finite \(p\)-groups by coclass.

DOI10.1016/j.jalgebra.2014.06.037zbMath1304.20027OpenAlexW1968403304MaRDI QIDQ406351

Martin Couson

Publication date: 8 September 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.06.037

zbMATH Keywords

numbers of irreducible charactersfinite \(p\)-groupscharacter degreesassociated pro-\(p\)-groupscoclass familiescoclass theory

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15) Limits, profinite groups (20E18)

Related Items (4)

Character degrees of finite \(p\)-groups by coclass. ⋮ The origins of coclass theory ⋮ A note on skeleton groups in coclass graphs ⋮ Finite \(p\)-groups of maximal class with `large' automorphism groups

Uses Software

• GAP
• Coclass
• SymbCompCC

Cites Work

• Character degrees of finite \(p\)-groups by coclass.
• Character theory of finite groups
• A characterization of groups in terms of the degrees of their characters
• Automorphism groups of 2-groups.
• A characterization of groups in terms of the degrees of their characters. II
• COMPUTATION OF LOW-DIMENSIONAL (CO)HOMOLOGY GROUPS FOR INFINITE SEQUENCES OF p-GROUPS WITH FIXED COCLASS
• On Monomial Characters and Central Idempotents of Rational Group Algebras
• On the classification of prime-power groups by coclass
• Minimal characters of p-groups
• Zeta function of representations of compact 𝑝-adic analytic groups
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