Essential dimensions of finite groups
Algebraic Geometry
2007-05-23 v2 Group Theory
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.
Cite
@article{arxiv.math/0611673,
title = {Essential dimensions of finite groups},
author = {Ming-chang Kang},
journal= {arXiv preprint arXiv:math/0611673},
year = {2007}
}
Comments
24 pages