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

Nick Gill, Francis Hunt, Pablo Spiga

Faculty of Computing, Engineering and Science

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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".

Original language	English
Pages (from-to)	417-435
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	167
Issue number	3
Early online date	5 Jul 2018
DOIs	https://doi.org/10.1017/S0305004118000403
Publication status	Published - Nov 2019

Keywords

math.GR
20B15, 20D06, 03C13

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title = "Cherlin's conjecture for almost simple groups of Lie rank 1",

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{"}.",

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AU - Hunt, Francis

AU - Spiga, Pablo

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N2 - 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".

AB - 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".

KW - math.GR

KW - 20B15, 20D06, 03C13

U2 - 10.1017/S0305004118000403

DO - 10.1017/S0305004118000403

M3 - Article

SN - 1469-8064

VL - 167

SP - 417

EP - 435

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

IS - 3

ER -

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

Abstract

Keywords

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