Essential Dimensions of A_7 and S_7

Mathematics – Algebraic Geometry

Scientific paper

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5 pages

Scientific paper

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.

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