On the Saxl graph of a permutation group

DOI10.1017/S0305004118000610zbMath1479.20006arXiv1712.03688WikidataQ129395143 ScholiaQ129395143MaRDI QIDQ5216084

Michael Giudici, Timothy C. Burness

Publication date: 14 February 2020

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.03688

zbMATH Keywords

primitive permutation groupcombinatorial propertiesSaxl graphbase of a permutation group

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Primitive groups (20B15) Subgroups of symmetric groups (20B35)

Related Items (10)

On valency problems of Saxl graphs ⋮ Saxl graphs of primitive affine groups with sporadic point stabilizers ⋮ On the Burness-Giudici conjecture ⋮ Base sizes of primitive groups of diagonal type ⋮ Computational group theory. Abstracts from the workshop held August 15--21, 2021 (hybrid meeting) ⋮ Finite groups, 2-generation and the uniform domination number ⋮ Unnamed Item ⋮ Base sizes for primitive groups with soluble stabilisers ⋮ On base sizes for primitive groups of product type ⋮ On the Saxl graphs of primitive groups with soluble stabilisers

Uses Software

• GAP
• Magma
• orb
• GAP Character Table Library
• CTblLib
• ATLAS Group Representations
• GitHub

Cites Work

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