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Pseudo-reductive groups /

Conrad, Brian David, (1970-)

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Pseudo-reductive groups /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Pseudo-reductive groups // Brian Conrad, Ofer Gabber, Gopal Prasad.
Author:	Conrad, Brian David,
other author:	Gabber, Ofer,
Published:	Cambridge ;Cambridge University Press, : 2010.,
Description:	xx, 533 p. :ill. ;24 cm.
[NT 15003449]:	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.
Subject:	Group theory. -
Online resource:	http://assets.cambridge.org/97805211/95607/cover/9780521195607.jpg
ISBN:	9780521195607 (hbk.) :

Pseudo-reductive groups /
Conrad, Brian David,1970-

Pseudo-reductive groups /Brian Conrad, Ofer Gabber, Gopal Prasad. - Cambridge ;Cambridge University Press,2010. - xx, 533 p. :ill. ;24 cm. - New mathematical monographs ;17. - New mathematical monographs ;13..

Includes bibliographical references (p. 525-526) and index.

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.

"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"--

ISBN: 9780521195607 (hbk.) :US99.00

LCCN: 2010022761Subjects--Topical Terms:

523248
Group theory.

LC Class. No.: QA179 / .C667 2010

Dewey Class. No.: 512/.55

Pseudo-reductive groups /
LDR:02419cam a22002294a 450 001 998996
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010 $a 2010022761
020 $a 9780521195607 (hbk.) : $c US99.00
035 $a AS-BW-100-N-04
040 $a DLC $c DLC $d BWK $d C#P $d CDX $d BWX $d UKM $d BTCTA $d YDXCP $d DLC
042 $a pcc
050 0 0 $a QA179 $b .C667 2010
082 0 0 $a 512/.55 $2 22
100 1 $a Conrad, Brian David, $d 1970- $3 722550
245 1 0 $a Pseudo-reductive groups / $c Brian Conrad, Ofer Gabber, Gopal Prasad.
260 # $a Cambridge ; $a New York : $b Cambridge University Press, $c 2010.
300 $a xx, 533 p. : $b ill. ; $c 24 cm.
490 1 0 $a New mathematical monographs ; $v 17
504 $a Includes bibliographical references (p. 525-526) and index.
505 0 # $a 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.
520 # $a "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"-- $c Provided by publisher.
650 # 0 $a Group theory. $3 523248
650 # 0 $a Linear algebraic groups. $3 526102
700 1 # $a Gabber, Ofer, $d 1958- $3 1324952
700 1 # $a Prasad, Gopal. $3 1324953
830 0 $a New mathematical monographs ; $v 13. $3 1232924
856 4 2 $3 Cover image $u http://assets.cambridge.org/97805211/95607/cover/9780521195607.jpg