arXiv:math/0611673 Abstract

arXiv:math/0611673 [math.AG]Abstract References Reviews Resources

Essential dimensions of finite groups

Published 2006-11-22, updated 2006-11-29Version 2

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.

Comments: 24 pages

Categories: math.AG, math.GR

Subjects: 12E05, 12F10, 12F20, 13F30

Keywords: essential dimension, finite group, central extension theorem, lower bounds, compositio math

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