Mathematical Research Letters

Volume 17 (2010)

Number 2

Essential dimensions of $A_7$ and $S_7$

Pages: 263 – 266

DOI: http://dx.doi.org/10.4310/MRL.2010.v17.n2.a5

Author

Alexander Duncan (University of British Columbia)

Abstract

We show that Y. Prokhorov’s “Simple Finite Subgroups of the {C}remona 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 $4$.

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