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Structure of \(\mathrm{SL}_{2}({\mathbb{F}_{\!q}})\)

  • Cédric BonnaféEmail author
Chapter
  • 1.3k Downloads
Part of the Algebra and Applications book series (AA, volume 13)

Abstract

The purpose of this chapter is to study the structure of the group \(G=\mathrm{SL}_{2}({\mathbb{F}_{\!q}})\): noteworthy subgroups (tori, Borel subgroups, the Bruhat decomposition), distinguished subgroups, conjugacy classes, Sylow subgroups and their normalisers.

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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.Institut de Mathématiques et de Modélisation de MontpellierCNRS (UMR 5149), Université Montpellier 2Montpellier CedexFrance

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