Rank One Groups

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


The notion of a rank one group with abelian unipotent subgroups grew out of the necessity to generalize the concept of k-root subgroups of [Tim91] to the demands of quadratic pairs [Tim99]. It is clear that it is not sufficient just to allow SL2s for this purpose, since other types of “rank one groups”, for example 2-dimensional classical groups of Witt index 1, arise in the situation of quadratic pairs.


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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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