Finite imprimitive linear groups of prime degree.

DOI10.1016/j.jalgebra.2004.02.005zbMath1062.20051OpenAlexW1982582661MaRDI QIDQ1883063

John D. Dixon, Alexander E. Zalesskij

Publication date: 1 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.02.005

zbMATH Keywords

split extensionsfinite simple groupsimprimitive linear groupstransitive permutation groups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Finite simple groups and their classification (20D05) Multiply transitive finite groups (20B20)

Related Items (7)

Groups of prime degree and the Bateman-Horn conjecture ⋮ L. G. KOVÁCS AND LINEAR GROUPS ⋮ Periodic subgroups of projective linear groups in positive characteristic. ⋮ A variation on theorems of Jordan and Gluck. ⋮ Algebraic (2, 2)-transformation groups ⋮ Some primitive linear groups of prime degree. ⋮ Classifying finite monomial linear groups of prime degree in characteristic zero

Uses Software

• GAP

Cites Work

• Reduced symmetric powers of natural realizations of the groups \(SL_ m(P)\) and \(Sp_ m(P)\) and their restrictions to subgroups
• Permutation representations and a fragment of the decomposition matrix of symplectic and special linear groups over a finite field
• The primitive soluble permutation groups of degree less than 256
• Über die Reduktion von Permutationsmoduln
• On the minimal degrees of projective representations of the finite Chevalley groups
• The finite irreducible monomial linear groups of degree \(4\)
• Representations of Algebraic Groups
• The Modular Permutation Representations of the Known Doubly Transitive Groups
• Finite Primitive Linear Groups of Prime Degree
• The Permutation Modules for GL(n +1, F _q ) Acting on P ⁿ (F _q ) and Fqn+1
• Linear Groups with Orders Having Certain Large Prime Divisors
• Endliche Gruppen I
• Linear groups of degree at most 27 over residue rings modulo \(p^k\).
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Finite imprimitive linear groups of prime degree.