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The solution of the k(GV) problem /

The <i>k(GV)</i> conjecture claims that the number of conjugacy classes (irreducible characters) of the semidirect product <i>GV</i> is bounded above by the order of <i>V</i>. Here <i>V</i> is a finite vector space and <i>G</i> a subgroup o...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Schmid, Peter, 1941-
Autor Corporativo: Imperial College of Science, Technology and Medicine
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London : Singapore ; Hackensack, NJ : Imperial College Press ; Distributed by World Scientific Pub., ©2007.
Colección:Imperial College Press advanced texts in mathematics ; v. 4.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Schmid, Peter,  |d 1941- 
245 1 4 |a The solution of the k(GV) problem /  |c Peter Schmid. 
260 |a London :  |b Imperial College Press ;  |a Singapore ;  |a Hackensack, NJ :  |b Distributed by World Scientific Pub.,  |c ©2007. 
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490 1 |a ICP advanced texts in mathematics ;  |v v. 4 
504 |a Includes bibliographical references (pages 225-229) and index. 
588 0 |a Print version record. 
505 0 |a 1. Conjugacy classes, characters, and Clifford Theory -- 2. Blocks of characters and Brauer's k(B) problem -- 3. The k(GV) problem -- 4. Symplectic and orthogonal modules -- 5. Real vectors -- 6. Reduced pairs of extraspecial type -- 7. Reduced pairs of quasisimple type -- 8. Modules without real vectors -- 9. Class numbers of permutation groups -- 10. The final stages of the proof -- 11. Possibilities for k(GV) = 
520 |a The <i>k(GV)</i> conjecture claims that the number of conjugacy classes (irreducible characters) of the semidirect product <i>GV</i> is bounded above by the order of <i>V</i>. Here <i>V</i> is a finite vector space and <i>G</i> a subgroup of <i>GL(V)</i> of order prime to that of <i>V</i>. It may be regarded as the special case of Brauer's celebrated <i>k(B)</i> problem dealing with <i>p</i>-blocks <i>B</i> of p-solvable groups (<i>p</i> a prime). Whereas Brauer's problem is still open in its generality, the <i>k(GV)</i> problem has recently been solved, completing the work of a series of aut. 
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830 0 |a Imperial College Press advanced texts in mathematics ;  |v v. 4. 
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