arXiv:1705.01344 Abstract | arXiv Analytics

arXiv:1705.01344 [math.GR]Abstract References Reviews Resources

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

Published 2017-05-03Version 1

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".

Comments: 14 pages

Categories: math.GR

Subjects: 20B15, 20D06, 03C13

Keywords: cherlins conjecture, simple groups, lie rank, concerning binary primitive permutation groups, socle isomorphic

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