Base sizes for S-actions of finite classical groups

@article{Burness2014BaseSF,
  title={Base sizes for S-actions of finite classical groups},
  author={Timothy C. Burness and R. Guralnick and J. Saxl},
  journal={Israel Journal of Mathematics},
  year={2014},
  volume={199},
  pages={711-756}
}
Let G be a permutation group on a set Ω. A subset B of Ω is a base for G if the pointwise stabilizer of B in G is trivial; the base size of G is the minimal cardinality of a base for G, denoted by b(G). In this paper we calculate the base size of every primitive almost simple classical group with point stabilizer in Aschbacher’s collection S of irreducibly embedded almost simple subgroups. In this situation we also establish strong asymptotic results on the probability that randomly chosen… Expand
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