Binary permutation groups: alternating and classical groups

Nick Gill, Pablo Spiga

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygl

103 Wedi eu Llwytho i Lawr (Pure)

Crynodeb

We introduce a new approach to the study of finite binary permutation groups and, as an application of our method, we prove Cherlin’s binary groups conjecture for groups with socle a finite alternating group, and for the C1-primitive actions of the finite classical groups. Our new approach involves the notion, defined with respect to a group action, of a “beautiful subset”. We demonstrate how the presence of such subsets can be used to show that a given action is not binary. In particular, the study of such sets will lead to a resolution of many of the remaining open cases of Cherlin’s binary groups conjecture.
Iaith wreiddiolSaesneg
Tudalennau (o-i)1-43
Nifer y tudalennau43
CyfnodolynAmerican Journal of Mathematics
Cyfrol142
Rhif cyhoeddi1
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 1 Chwef 2020

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