Regular orbits of symmetric and alternating groups

DOI10.1016/j.jalgebra.2016.02.018zbMath1395.20006arXiv1812.05880OpenAlexW2332787203MaRDI QIDQ290406

E. A. O'Brien, Joanna B. Fawcett, Jan Saxl

Publication date: 1 June 2016

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

Full work available at URL: https://arxiv.org/abs/1812.05880

zbMATH Keywords

symmetric groupalternating groupregular orbitsprimitive groups

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Modular representations and characters (20C20) Primitive groups (20B15) Subgroups of symmetric groups (20B35)

Related Items (11)

On low-degree representations of the symmetric group ⋮ Bases of twisted wreath products ⋮ Strongly base-two groups ⋮ On the classification of extremely primitive affine groups ⋮ Regular orbits of sporadic simple groups ⋮ Bases for quasisimple linear groups ⋮ Orbit sizes and odd order composition factors of finite linear groups ⋮ On the Saxl graph of a permutation group ⋮ Regular orbits of quasisimple linear groups. II ⋮ Regular orbits of quasisimple linear groups. I ⋮ On the Saxl graphs of primitive groups with soluble stabilisers

Uses Software

• GAP
• Magma
• orb
• ATLAS Group Representations
• Spinsym

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On low-degree representations of the symmetric group
• The base size of a primitive diagonal group.
• A practical model for computation with matrix groups.
• Base sizes for sporadic simple groups.
• Finite splitting fields of normal subgroups.
• Some projective representations of \(S_n\)
• On the order of uniprimitive permutation groups
• The representation theory of the symmetric groups
• The Magma algebra system. I: The user language
• Generation of finite almost simple groups by conjugates.
• Regular orbits of linear groups with an application to the \(k(GV)\)-problem. I
• Regular orbits of linear groups
• Base sizes for \(\mathcal S\)-actions of finite classical groups.
• Regular orbits on the deleted permutation module.
• The non-coprime \(k(GV)\) problem.
• Writing projective representations over subfields.
• On base sizes for symmetric groups
• On the minimal dimensions of irreducible representations of symmetric groups
• Spin Modules for Symmetric Groups
• Generators for Finite Simple Groups, with Applications to Linear Groups
• On restrictions of modular spin representations of symmetric and alternating groups
• The classification of the finite simple groups

This page was built for publication: Regular orbits of symmetric and alternating groups