The existence of regular orbits for nilpotent groups

DOI10.1016/0021-8693(81)90312-4zbMath0482.20004OpenAlexW2037665604MaRDI QIDQ1162585

Beverly Bailey Hargraves

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-8693(81)90312-4

zbMATH Keywords

regular orbitregular moduleHall-Higman type theoremsfaithful irreducible module

Mathematics Subject Classification ID

Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15)

Related Items (22)

Abelian quotients and orbit sizes of solvable linear groups ⋮ Finite groups with regular orbits on vector spaces ⋮ Class 2 quotients of solvable linear groups ⋮ The existence of regular orbits ⋮ Regular orbits on symplectic modules ⋮ On Sylow Intersections in Finite Groups ⋮ Direct products of groups and regular orbits ⋮ REGULAR ORBITS OF COPRIME LINEAR GROUPS IN LARGE CHARACTERISTIC ⋮ IBIS soluble linear groups ⋮ Regular orbits of nilpotent subgroups of solvable linear groups. ⋮ Groups of operators that fix a Sylow subgroup ⋮ On the modular version of Huppert's \(\rho\)-\(\sigma\) conjecture ⋮ The largest conjugacy class size and the nilpotent subgroups of finite groups ⋮ The size of the largest conjugacy classes and the Sylow \(p\)-subgroups of finite groups ⋮ Linear groups ⋮ The Regular Module Problem. I ⋮ A brief note on the noncoprime regular module problem ⋮ On the intersection of nilpotent Hall \(\pi \)-subgroups ⋮ The regular module problem, II ⋮ The regular module problem. III ⋮ Prime Divisors ofp-regular Conjugacy Class Sizes ⋮ Degree-problems. I: Squarefree character degrees

Cites Work

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• Hall-Higman type theorems. V
• On groups admitting fixed point free abelian operator groups
• Fixed points in groups with operator groups
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• Hall-Higman Type Theorems. III
• Hall Higman Type Theorems, I
• Hall-Higman Type Theorems. II
• [https://portal.mardi4nfdi.de/wiki/Publication:5513801 Groups with Normal, Solvable Hall p � -Subgroups]

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