Representing the quotient groups of a finite permutation group

DOI10.1006/jabr.2001.8961zbMath1012.20001OpenAlexW2081424634MaRDI QIDQ1604392

Derek F. Holt, Jacqueline Walton

Publication date: 4 July 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.8961

zbMATH Keywords

minimal degreesquotient groupsembeddings into symmetric groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroups of symmetric groups (20B35) General theory for finite permutation groups (20B05)

Related Items (9)

On exceptional groups of order \(p^5\) ⋮ Minimal permutation representations of semidirect products of groups. ⋮ SUBGROUPS WITH NO ABELIAN COMPOSITION FACTORS ARE NOT DISTINGUISHED ⋮ Minimum degrees of finite rectangular bands, null semigroups, and variants of full transformation semigroups ⋮ THE CONTRIBUTION OF L. G. KOVÁCS TO THE THEORY OF PERMUTATION GROUPS ⋮ THE GRADED CENTER OF A TRIANGULATED CATEGORY ⋮ Vertex-minimal graphs with dihedral symmetry. I. ⋮ ON MINIMAL DEGREES OF PERMUTATION REPRESENTATIONS OF ABELIAN QUOTIENTS OF FINITE GROUPS ⋮ On the orders of primitive groups

Uses Software

• Magma

Cites Work

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• On minimal faithful permutation representations of finite groups
• On the orders of Primitive Permutation Groups
• Endliche Gruppen I
• Minimal Permutation Representations of Finite Groups

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