Maximal subgroups of the Mathieu group $M_{23}$ and symplectic automorphisms of supersingular K3 surfaces

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dc.creatorKondo, Shigeyuki
dc.date2005-11-11
dc.date.accessioned2026-07-07T06:51:07Z
dc.date.available2026-07-07T06:51:07Z
dc.descriptionWe show that the Mathieu groups $M_{22}$ and $M_{11}$ can act on the supersingular $K3$ surface with Artin invariant 1 in characteristic 11 as symplectic automorphisms. More generally we show that all maximal subgroups of the Mathieu group $M_{23}$ with three orbits on 24 letters act on a supersingular $K3$ surface with Artin invariant 1 in a suitable characteristic.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0511286
dc.identifierhttp://arxiv.org/abs/math/0511286
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104883
dc.subjectAlgebraic Geometry
dc.subject14J28; 20D08
dc.titleMaximal subgroups of the Mathieu group $M_{23}$ and symplectic automorphisms of supersingular K3 surfaces
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