wanshunwong@math.ucla.edu

Submission: 2010, May 24

We find an upper bound for the essential dimension of a finite cyclic group G over a field F, where the characteristic of F is different from p, and F contains all primitive p-th roots of unity for every prime p that divides the order of G.

2000 Mathematics Subject Classification: 20G15, 14L30

Keywords and Phrases: Essential dimension, finite cyclic groups, algebraic tori

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