PARTITION ACTIONS OF SYMMETRIC GROUPS AND REGULAR BIPARTITE GRAPHS

DOI10.1112/S0024609306018285zbMath1159.20003OpenAlexW2038002896MaRDI QIDQ5289909

J. P. James

Publication date: 19 April 2006

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024609306018285

zbMATH Keywords

symmetric groupsbipartite graphsprimitive actionsbases of actionspointwise stabilisers

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Symmetric groups (20B30)

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Bases of twisted wreath products ⋮ Base sizes for sporadic simple groups. ⋮ Strongly base-two groups ⋮ On the Burness-Giudici conjecture ⋮ On counting double centralizers of symmetric groups ⋮ Minimal degree, base size, order: selected topics on primitive permutation groups ⋮ Finite groups, minimal bases and the intersection number ⋮ Arbitrary groups as two-point stabilisers of symmetric groups acting on partitions ⋮ Finite groups, 2-generation and the uniform domination number ⋮ On the single-orbit conjecture for uncoverings-by-bases ⋮ On the base size of the symmetric and the alternating group acting on partitions ⋮ Base sizes for primitive groups with soluble stabilisers ⋮ On base sizes for algebraic groups ⋮ On the Saxl graph of a permutation group ⋮ On the minimal dimension of a finite simple group ⋮ Regular orbits of quasisimple linear groups. II ⋮ Regular orbits of quasisimple linear groups. I ⋮ On Pyber’s base size conjecture

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