Essential Dimensions of A_7 and S_7

Abstract

We show that Y. Prokhorov's "Simple Finite Subgroups of the Cremona Group of Rank 3" implies that, over any field of characteristic 0, the essential dimensions of the alternating group, A_7, and the symmetric group, S_7, are 4.

5 pages

References in corpus (2)

• Simple finite subgroups of the Cremona group of rank 3
• Essential dimension and algebraic stacks