| Description |
1 online resource (xx, 533 pages) : illustrations. |
|
text file |
| Series |
New mathematical monographs ; 17
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New mathematical monographs ; 17.
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| Bibliography |
Includes bibliographical references and index. |
| Summary |
"Pseudo-reductive groups arise naturally in the study of general smooth linear algebraic groups over non-perfect fields and have many important applications. This self-contained monograph provides a comprehensive treatment of the theory of pseudo-reductive groups and gives their classification in a usable form. The authors present numerous new results and also give a complete exposition of Tits' structure theory of unipotent groups. They prove the conjugacy results (conjugacy of maximal split tori, minimal pseudo-parabolic subgroups, maximal split unipotent subgroups) announced by Armand Borel and Jacques Tits, and also give the Bruhat decomposition, of general smooth connected algebraic groups. Researchers and graduate students working in any related area, such as algebraic geometry, algebraic group theory, or number theory, will value this book as it develops tools likely to be used in tackling other problems"-- Provided by publisher. |
| Contents |
Constructions, examples, and structure theory. Overview of pseudo-reductivity ; Root groups and root systems ; Basic structure theory -- Standard presentations and their applications. Variation of (G', k'/k, T', C) ; Ubiquity of the standard construction ; Classification results -- General classification and applications. The exotic constructions ; Preparations for classification in characteristics 2 and 3 ; The absolutely pseudo-simple groups in characteristic 2 ; General case ; Applications -- Appendices. Background in linear algebraic groups ; Tits' work on unipotent groups in nonzero characteristic ; Rational conjugacy in connected groups. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Linear algebraic groups.
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Linear algebraic groups. |
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Group theory.
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Group theory. |
| Genre/Form |
Electronic books.
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| Added Author |
Gabber, Ofer, 1958-
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Prasad, Gopal.
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| Other Form: |
Print version: Conrad, Brian David, 1970- Pseudo-reductive groups. Cambridge ; New York : Cambridge University Press, 2010 9780521195607 (DLC) 2010022761 (OCoLC)642624646 |
| ISBN |
9781139042109 (electronic book) |
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1139042106 (electronic book) |
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9781139044738 (electronic book) |
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1139044737 (electronic book) |
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9780521195607 |
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0521195608 |
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