Arithmetically long orbits of solvable linear groups.

zbMath0832.20005MaRDI QIDQ1320953

Olaf Manz, Thomas R. Wolf

Publication date: 22 February 1996

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite solvable groupschief factorsorbit sizesfinite faithful irreducible modules

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (9)

On Huppert's \(\rho\)-\(\sigma\) conjecture for blocks ⋮ Conjugacy class lengths of metanilpotent groups ⋮ On covering number of groups with trivial Fitting subgroup ⋮ Huppert's conjecture for character codegrees ⋮ Prime divisors of irreducible character degrees. ⋮ On Huppert's rho-sigma conjecture ⋮ Orbit sizes, character degrees and Sylow subgroups. ⋮ Blocks of small defect. ⋮ On Huppert's \(\rho\)-\(\sigma\) conjecture

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