Cherlin's conjecture for almost simple groups of Lie rank 1

Nick Gill; Francis Hunt; Pablo Spiga

doi:10.1017/S0305004118000403

Cherlin's conjecture for almost simple groups of Lie rank 1

Group Theory 2019-10-09 v1

Authors: Nick Gill , Francis Hunt , Pablo Spiga

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Abstract

We prove Cherlin's conjecture, concerning binary primitive permutation groups, for those groups with socle isomorphic to $\mathrm{PSL}_2(q)$ , ${^2\mathrm{B}_2}(q)$ , ${^2\mathrm{G}_2}(q)$ or $\mathrm{PSU}_3(q)$ . Our method uses the notion of a "strongly non-binary action".

Keywords

Cherlin's conjecture binary primitive permutation groups almost simple groups Lie rank 1 socle strongly non-binary action

Cite

@article{arxiv.1705.01344,
  title  = {Cherlin's conjecture for almost simple groups of Lie rank 1},
  author = {Nick Gill and Francis Hunt and Pablo Spiga},
  journal= {arXiv preprint arXiv:1705.01344},
  year   = {2019}
}

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14 pages

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