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

Cyfadran Cyfrifiadureg, Peirianneg a Gwyddoniaeth

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl

89 Wedi eu Llwytho i Lawr (Pure)

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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".

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	417-435
Cyfnodolyn	Mathematical Proceedings of the Cambridge Philosophical Society
Cyfrol	167
Rhif cyhoeddi	3
Dyddiad ar-lein cynnar	5 Gorff 2018
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1017/S0305004118000403
Statws	Cyhoeddwyd - Tach 2019

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10.1017/S0305004118000403Trwydded: CC BY-NC

pdfLlawysgrif awdur wedi’i dderbyn, 237 KBTrwydded: CC BY-NC

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@article{0cb1e63a41d240918aee85c3a1a467b4,

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{"}.",

keywords = "math.GR, 20B15, 20D06, 03C13",

author = "Nick Gill and Francis Hunt and Pablo Spiga",

note = "14 pages",

year = "2019",

month = nov,

doi = "10.1017/S0305004118000403",

language = "English",

volume = "167",

pages = "417--435",

journal = "Mathematical Proceedings of the Cambridge Philosophical Society",

issn = "0305-0041",

publisher = "Cambridge University Press",

number = "3",

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TY - JOUR

T1 - Cherlin's conjecture for almost simple groups of Lie rank 1

AU - Gill, Nick

AU - Hunt, Francis

AU - Spiga, Pablo

N1 - 14 pages

PY - 2019/11

Y1 - 2019/11

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

VL - 167

SP - 417

EP - 435

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

SN - 0305-0041

IS - 3

ER -

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

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