# Regular orbits of sporadic simple groups

@article{Fawcett2018RegularOO,
title={Regular orbits of sporadic simple groups},
author={Joanna B. Fawcett and Jurgen Muller and Eamonn A. O'Brien and Robert Arnott Wilson},
journal={Journal of Algebra},
year={2018}
}
• Published 14 January 2018
• Mathematics
• Journal of Algebra
10 Citations

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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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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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A base of a permutation group G on a set Ω is a subset B of Ω such that the pointwise stabilizer of B in G is trivial. The base size of G, denoted by b(G), is the minimal cardinality of a base. Let G
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