On presentations and second cohomology of some finite simple groups

Inna Korchagina; Alexander Lubotzky

doi:10.5486/pmd.2006.3590

On presentations and second cohomology of some finite simple groups

Inna Korchagina^*
, Alexander Lubotzky

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

Let G = G(F_q) be a finite simple group of Lie type denned over a field of order q. It is shown that for untwisted G, G(F_q) has a presentation in which the number of relations if independent of q. As a corollary, some bounds on dim H² (G,M) (where M is a simple Fq[G]-module) are obtained.

Original language	English
Pages (from-to)	341-352
Number of pages	12
Journal	Publicationes Mathematicae Debrecen
Volume	69
Issue number	3
DOIs	https://doi.org/10.5486/pmd.2006.3590
State	Published - 2006

Keywords

Cohomology of groups
Group presentations

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10.5486/pmd.2006.3590

Cite this

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KW - Group presentations

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On presentations and second cohomology of some finite simple groups

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