Coprime subdegrees for primitive permutation groups and completely reducible linear groups.

DOI10.1007/s11856-012-0163-4zbMath1287.20005arXiv1109.6559OpenAlexW2037815580WikidataQ56987485 ScholiaQ56987485MaRDI QIDQ375689

Pablo Spiga, Cheryl E. Praeger, Robert M. Guralnick, Silvio Dolfi

Publication date: 31 October 2013

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

Full work available at URL: https://arxiv.org/abs/1109.6559

zbMATH Keywords

primitive permutation groupsirreducible modulessubdegreescompletely reducible linear groupsorbit lengths

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Primitive groups (20B15)

Related Items (8)

Real class sizes ⋮ Cubic graphical regular representations of finite non-abelian simple groups ⋮ Coprime subdegrees for primitive permutation groups and completely reducible linear groups. ⋮ Sectional rank and cohomology ⋮ On the maximal number of coprime subdegrees in finite primitive permutation groups ⋮ Arithmetic results on orbits of linear groups ⋮ Coprime subdegrees of twisted wreath permutation groups ⋮ Finite groups whose real-valued irreducible characters have prime power degrees

Uses Software

• GAP
• Magma

Cites Work

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