Metacyclic primitive linear groups

DOI10.1080/00927879408824844zbMath0820.20058OpenAlexW2055933025MaRDI QIDQ4282887

Hyo-Seob Sim

Publication date: 14 September 1995

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

Full work available at URL: https://doi.org/10.1080/00927879408824844

zbMATH Keywords

general linear groupsproducts of subgroupsSinger cyclesHall \(\pi\)-subgroupsirreducible cyclic groupsprimitive metacyclic subgroups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Subgroup theorems; subgroup growth (20E07) Products of subgroups of abstract finite groups (20D40)

Related Items

L. G. KOVÁCS AND LINEAR GROUPS, NILPOTENT PRIMITIVE LINEAR GROUPS OVER FINITE FIELDS, Classifying finite monomial linear groups of prime degree in characteristic zero

Cites Work

• The primitive soluble permutation groups of degree less than 256
• Degrees of irreducible representations of metacyclic groups
• Unnamed Item