Abstract
In this chapter basic ingredients of the theory of linear algebraic groups are introduced: maximal tori, Borel groups, parabolic subgroups. Fundamental results are the conjugacy theorems for Borel groups and maximal tori (6.2.7 and6.4.1). The structure theory of connected solvable groups is also treated. The chapter begins with a brief discussion of complete varieties.
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© 2009 Birkhäuser Boston, a part of Springer Science+Business Media, LLC
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Springer, T.A. (2009). Parabolic Subgroups, Borel Subgroups, Solvable Groups. In: Linear Algebraic Groups. Modern Birkhäuser CIassics. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4840-4_6
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DOI: https://doi.org/10.1007/978-0-8176-4840-4_6
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4839-8
Online ISBN: 978-0-8176-4840-4
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