Presentations of Finite Simple Groups: Profinite and Cohomological Approaches

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dc.creatorGuralnick, Robert
dc.creatorKantor, William M.
dc.creatorKassabov, Martin
dc.creatorLubotzky, Alex
dc.date2007-11-18
dc.date.accessioned2026-07-07T08:43:40Z
dc.date.available2026-07-07T08:43:40Z
dc.descriptionWe prove the following three closely related results. The first is that every finite simple group has a profinite presentation with 2 generators and at most 18 relations. The second is that if G is a finite simple group, F a field and M an FG-module, then the dimension of the second cohomology group of G with coefficients in M is at most 17.5 times the dimension of M. The third result is that we may replace 17.5 by 18.5 as long as M is faithful irreducible G-module. These last two results answer conjectures of Holt.
dc.description44 pages, to appear in Groups, Geometry and Dynamics
dc.identifierhttps://arxiv.org/abs/0711.2817
dc.identifierhttp://arxiv.org/abs/0711.2817
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142393
dc.subjectGroup Theory
dc.subjectRepresentation Theory
dc.subject20G10, 20D06
dc.titlePresentations of Finite Simple Groups: Profinite and Cohomological Approaches
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