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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...
| Cote: | Libro Electrónico |
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| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
London : Singapore ; Hackensack, NJ :
Imperial College Press ; Distributed by World Scientific Pub.,
©2007.
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| Collection: | Imperial College Press advanced texts in mathematics ;
v. 4. |
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| Accès en ligne: | Texto completo |
| Résumé: | 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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| Description matérielle: | 1 online resource (xiv, 232 pages). |
| Bibliographie: | Includes bibliographical references (pages 225-229) and index. |
| ISBN: | 9781860949715 1860949711 1281869465 9781281869463 9786611869465 6611869468 |