Presentations of finite simple groups: a quantitative approach

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dc.creatorGuralnick, Robert
dc.creatorKantor, Willim
dc.creatorKassabov, Martin
dc.creatorLubotzky, Alex
dc.date2006-02-22
dc.date2007-11-19
dc.date.accessioned2026-07-07T08:43:29Z
dc.date.available2026-07-07T08:43:29Z
dc.descriptionEvery nonabelian finite simple group of rank $n$ over a field of size $q$, with the possible exception of the Ree groups $^2G_2(3^{2e+1})$, has a presentation with a bounded number of generators and relations and total length $O(\log n +\log q)$. As a corollary, we deduce a conjecture of Holt: there is a constant $C$ such that $\dim H^2(G,M)\leq C\dim M$ for every finite simple group $G$, every prime $p$ and every irreducible $F_p [G]$-module $M$.
dc.descriptionlatex 64 pages
dc.identifierhttps://arxiv.org/abs/math/0602508
dc.identifierhttp://arxiv.org/abs/math/0602508
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142330
dc.subjectGroup Theory
dc.titlePresentations of finite simple groups: a quantitative approach
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