Open Access
June 2008 Groups with Essential Dimension One
Huah Chu, Shou-Jen Hu, Ming-chang Kang, Jiping Zhang
Asian J. Math. 12(2): 177-192 (June 2008).

Abstract

Denote by edK(G) the essential dimension of G over K. If K is an algebraically closed field with char K = 0, Buhler and Reichstein determine explicitly all finite groups G with edK(G) = 1. We will prove a generalization of this theorem when K is an arbitrary field.

Citation

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Huah Chu. Shou-Jen Hu. Ming-chang Kang. Jiping Zhang. "Groups with Essential Dimension One." Asian J. Math. 12 (2) 177 - 192, June 2008.

Information

Published: June 2008
First available in Project Euclid: 9 September 2008

zbMATH: 1201.12002
MathSciNet: MR2439258

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

Keywords: compression of finite group actions , Essential dimension , finite subgroups of SL_2(K) , Galois theory

Rights: Copyright © 2008 International Press of Boston

Vol.12 • No. 2 • June 2008
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