Abstract
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 SL 2s 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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© 2001 Birkhäuser Verlag
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Timmesfeld, F.G. (2001). Rank One Groups. In: Abstract Root Subgroups and Simple Groups of Lie-Type. Monographs in Mathematics, vol 95. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7594-3_1
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DOI: https://doi.org/10.1007/978-3-0348-7594-3_1
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-7596-7
Online ISBN: 978-3-0348-7594-3
eBook Packages: Springer Book Archive