Asian Journal of Mathematics
Volume 12 (2008)
Groups with Essential Dimension One
Pages: 177 – 192
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.
Essential dimension; compression of ﬁnite group actions; Galois theory; ﬁnite subgroups of SL_2(K)
2010 Mathematics Subject Classification
12E05, 12F10, 12F20, 13F30