NILPOTENT PRIMITIVE LINEAR GROUPS OVER FINITE FIELDS

DOI10.1081/AGB-200047422zbMath1075.20019OpenAlexW1999102788MaRDI QIDQ4678654

Alla S. Detinko, Dane L. Flannery

Publication date: 23 May 2005

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

Full work available at URL: https://doi.org/10.1081/agb-200047422

zbMATH Keywords

Hall subgroupsnilpotent groupsprimitive linear groupsSylow 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) General structure theorems for groups (20E34) Other matrix groups over finite fields (20H30)

Related Items (8)

Cubic arc-transitive Cayley graphs on Frobenius groups ⋮ Cubic arc-transitive Cayley graphs on Frobenius groups ⋮ Primitive finite nilpotent linear groups over number fields ⋮ On the automorphism groups of Frobenius groups ⋮ Tetravalent edge-transitive Cayley graphs of Frobenius groups ⋮ Pentavalent arc-transitive Cayley graphs on Frobenius groups with soluble vertex stabilizer ⋮ Frobenius REA-groups and their Cayley graphs ⋮ Computing in Nilpotent Matrix Groups

Uses Software

• Nilmat

Cites Work

• Some remarks on Sylow subgroups of general linear groups
• Metacyclic primitive linear groups
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