On the base size for the symmetric group acting on subsets

DOI10.1556/SScMath.49.2012.4.1222zbMath1296.20002MaRDI QIDQ5169214

Zoltán Halasi

Publication date: 21 July 2014

Published in: Studia Scientiarum Mathematicarum Hungarica (Search for Journal in Brave)

zbMATH Keywords

symmetric groupsminimal basesbase sizesactions on subsets

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Symmetric groups (20B30) Primitive groups (20B15)

Related Items (17)

Permutation groups with restricted stabilizers ⋮ Statistics for \(S_n\) acting on \(k\)-sets ⋮ A classification of finite primitive IBIS groups with alternating socle ⋮ Minimal degree, base size, order: selected topics on primitive permutation groups ⋮ Finite groups, minimal bases and the intersection number ⋮ Total closure for permutation actions of finite nonabelian simple groups ⋮ Finite groups, 2-generation and the uniform domination number ⋮ Unnamed Item ⋮ On the base size of the symmetric and the alternating group acting on partitions ⋮ Base sizes for primitive groups with soluble stabilisers ⋮ Base sizes of primitive groups: bounds with explicit constants ⋮ On base sizes for algebraic groups ⋮ On the Saxl graph of a permutation group ⋮ On the uniform domination number of a finite simple group ⋮ The distinguishing number of quasiprimitive and semiprimitive groups ⋮ Base size sets and determining sets ⋮ On Pyber’s base size conjecture

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