Submission: 2007, Nov 19
We prove that the essential dimension and p-dimension of a p-group G over a field F containing a primitive p-th root of unity is equal to the least dimension of a faithful representation of G over F. This is a revised version of the preprint no. 263 (with a different title) where the essential p-dimension was not considered.
2000 Mathematics Subject Classification: 20G15; 14C35
Keywords and Phrases: Algebraic groups, finite p-groups, essential dimension, representations, K-theory
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