Character degrees, class sizes, and normal subgroups of a certain class of \(p\)-groups

zbMath0932.20015MaRDI QIDQ1305036

Riedl, Jeffrey M.

Publication date: 9 March 2000

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

zbMATH Keywords

finite \(p\)-groupsclass numbersgroups of unitscharacter degreesderived lengthslower central seriesskew-polynomial ringsodd order groups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15)

Related Items

Computing character degrees via a Galois connection, Finite groups whose irreducible characters vanish only on \(p\)-elements., Finite groups whose noncentral class sizes have the same \(p\)-part for some prime \(p\)., Groups whose prime graph on conjugacy class sizes has few complete vertices., A solvable group whose character degree graph has diameter $3$, Groups whose prime graph on class sizes has a cut vertex

Cites Work

• Coprime Group Actions Fixing All Nonlinear Irreducible Characters
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