Bases of twisted wreath products

@article{Fawcett2021BasesOT,
  title={Bases of twisted wreath products},
  author={Joanna B. Fawcett},
  journal={Journal of Algebra},
  year={2021}
}
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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…

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Let G be a permutation group acting on a set Ω. A subset of Ω is a base for G if its pointwise stabilizer in G is trivial. We write b(G) for the minimal size of a base for G. We determine the precise…

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  • D. Gluck
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    Canadian Journal of Mathematics
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For which permutation groups does there exist a subset of the permuted set whose stabilizer in the group is trivial? The permuted set has so many subsets that one might expect that subsets with…
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