Transitive projective planes and insoluble groups

Nick Gill

doi:10.1090/tran/6366

Transitive projective planes and insoluble groups

Nick Gill

Cyfadran Cyfrifiadureg, Peirianneg a Gwyddoniaeth

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

73 Wedi eu Llwytho i Lawr (Pure)

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Suppose that a group $G$ acts transitively on the points of $\mathcal{P}$, a finite non-Desarguesian projective plane. We prove that if $G$ is insoluble then $G/O(G)$ is isomorphic to $SL_2(5)$ or $SL_2(5).2$.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	3017-3057
Nifer y tudalennau	41
Cyfnodolyn	Transactions of the American Mathematical Society
Cyfrol	368
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1090/tran/6366
Statws	Cyhoeddwyd - 6 Ion 2016

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10.1090/tran/6366Trwydded: CC BY-NC-ND

pdfLlawysgrif awdur wedi’i dderbyn, 422 KBTrwydded: CC BY-NC-ND

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AB - Suppose that a group $G$ acts transitively on the points of $\mathcal{P}$, a finite non-Desarguesian projective plane. We prove that if $G$ is insoluble then $G/O(G)$ is isomorphic to $SL_2(5)$ or $SL_2(5).2$.

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Transitive projective planes and insoluble groups

Crynodeb

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