Essential dimension of finite groups, by Nikita A. Karpenko and Alexander S. Merkurjev

We prove that the essential 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.


Nikita A. Karpenko <karpenko@math.jussieu.fr>
Alexander S. Merkurjev <merkurev@math.ucla.edu>