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Irreducible almost simple subgroups of classical algebraic groups /

Let G be a simple classical algebraic group over an algebraically closed field K of characteristic p e"0 with natural module W. Let H be a closed subgroup of G and let V be a nontrivial p-restricted irreducible tensor indecomposable rational KG-module such that the restriction of V to H is irre...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Burness, Timothy C., 1979- (Autor), Ghandour, Soumaia, 1980- (Autor), Marion, Claude, 1982- (Autor), Testerman, Donna M., 1960- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2015.
Colección:Memoirs of the American Mathematical Society ; no. 1114.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Burness, Timothy C.,  |d 1979-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PCjqFhPq3GwjKCtg8gcwxj3 
245 1 0 |a Irreducible almost simple subgroups of classical algebraic groups /  |c Timothy C. Burness, Soumaïa Ghandour, Claude Marion, Donna M. Testerman. 
264 1 |a Providence, Rhode Island :  |b American Mathematical Society,  |c 2015. 
264 4 |c ©2014 
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490 1 |a Memoirs of the American Mathematical Society,  |x 1947-6221 ;  |v volume 236, number 1114 
588 0 |a Print version record. 
500 |a "Volume 236, number 1114 (fourth of 6 numbers), July 2015." 
504 |a Includes bibliographical references (pages 109-110). 
520 |a Let G be a simple classical algebraic group over an algebraically closed field K of characteristic p e"0 with natural module W. Let H be a closed subgroup of G and let V be a nontrivial p-restricted irreducible tensor indecomposable rational KG-module such that the restriction of V to H is irreducible. In this paper we classify the triples (G, H, V) of this form, where V = W, W* and H is a disconnected almost simple positive-dimensional closed subgroup of G acting irreducibly on W. Moreover, by combining this result with earlier work, we complete the classification of the irreducible triples (G, H, V) where G is a simple algebraic group over K, and H is a maximal closed subgroup of positive dimension 
505 0 0 |t Chapter 1. Introduction  |t Chapter 2. Preliminaries  |t Chapter 3. The case $H^0 = A_m$  |t Chapter 4. The case $H^0=D_m$, $m \ge 5$  |t Chapter 5. The case $H^0=E_6$  |t Chapter 6. The case $H^0 = D_4$  |t Chapter 7. Proof of Theorem 5  |t Notation 
546 |a Text in English. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Algebra. 
650 6 |a Algèbre. 
650 7 |a algebra.  |2 aat 
650 7 |a Algebra  |2 fast 
700 1 |a Ghandour, Soumaia,  |d 1980-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PCjHbVT64Q76b9J3mtPWMj3 
700 1 |a Marion, Claude,  |d 1982-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PCjH4C4fYVtf34mFyWp36yq 
700 1 |a Testerman, Donna M.,  |d 1960-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PBJwtgMfhdBj8TcJTWrtBT3 
710 2 |a American Mathematical Society,  |e publisher. 
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776 0 8 |i Prrint version:  |a Burness, Timothy C., 1979-  |t Irreducible Almost Simple Subgroups of Classical Algebraic Groups.  |d Providence, RI : American Mathematical Society, 2015  |z 9781470410469  |w (DLC) 2015007756  |w (OCoLC)907060043 
830 0 |a Memoirs of the American Mathematical Society ;  |v no. 1114. 
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