On presentations and second cohomology of some finite simple groups

Inna Korchagina*, Alexander Lubotzky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

Let G = G(Fq) be a finite simple group of Lie type denned over a field of order q. It is shown that for untwisted G, G(Fq) 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 languageEnglish
Pages (from-to)341-352
Number of pages12
JournalPublicationes Mathematicae Debrecen
Volume69
Issue number3
DOIs
StatePublished - 2006

Keywords

  • Cohomology of groups
  • Group presentations

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