Essential dimensions of finite groups

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We study the essential dimension of a finite group G over a field K. A generalization of the central extension theorem of Buhler and Reichstein (Compositio Math. 106 (1997) 159-179, Theorem 5.3) is obtained. We also get lower bounds of essential dimension of symmetric groups and alternating groups over field of any characteristic.
24 pages

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Algebraic Geometry, Group Theory, 12E05, 12F10, 12F20, 13F30

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http://salesiana.dossiersoluciones.com/handle/123456789/119378

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0611673
 http://arxiv.org/abs/math/0611673

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arXiv