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Abstract Root Subgroups

  • Franz Georg Timmesfeld
Chapter
  • 188 Downloads
Part of the Monographs in Mathematics book series (MMA, volume 95)

Abstract

In this chapter we introduce the notion of a group generated by a class of abstract root subgroups together with certain specializations of it, namely k-root subgroups and abstract transvection groups. After discussing some examples, i. e. classical groups, we start to develop the elementary general theory of groups generated by a class of abstract root subgroups. Finally in §5 we show that each simple group of Lie type (in a general sense) is generated by a class of abstract root subgroups. The results of this chapter are, if not mentioned otherwise, from [Tim90a], [Tim91], [Tim99] or [Tim00b].

Keywords

Conjugacy Class Parabolic Subgroup Polar Space Division Ring Singular Line 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag 2001

Authors and Affiliations

  • Franz Georg Timmesfeld
    • 1
  1. 1.Mathematisches InstitutJustus-Liebig-Universität GiessenGiessenGermany

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