The base size of a primitive diagonal group

@article{Fawcett2012TheBS,
  title={The base size of a primitive diagonal group},
  author={Joanna B. Fawcett},
  journal={Journal of Algebra},
  year={2012},
  volume={375},
  pages={302-321}
}
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27 Citations
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27 Citations

On Pyber's base size conjecture

Let G be a permutation group on a finite set Ω. A subset of Ω is a base for G if its pointwise stabilizer in G is trivial. The base size of G, denoted b(G), is the smallest size of a base. A…

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On the Saxl graph of a permutation group

Abstract Let G be a permutation group on a set Ω. A subset of Ω is a base for G if its pointwise stabiliser in G is trivial. In this paper we introduce and study an associated graph Σ(G), which we…

Permutation groups with restricted stabilizers

Bases of twisted wreath products

Regular orbits of sporadic simple groups

Strongly base-two groups

. Let G be a finite group, let H be a core-free subgroup and let b ( G, H ) denote the base size for the action of G on G/H . Let α ( G ) be the number of conjugacy classes of core-free subgroups H of…

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