Essential dimensions of finite groups
Abstract
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- November 2006
- DOI:
- 10.48550/arXiv.math/0611673
- arXiv:
- arXiv:math/0611673
- Bibcode:
- 2006math.....11673K
- Keywords:
-
- Mathematics - Algebraic Geometry;
- Mathematics - Group Theory;
- 12E05;
- 12F10;
- 12F20;
- 13F30
- E-Print:
- 24 pages