Essential dimension of finite p-groups
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- Karpenko, N. & Merkurjev, A. Invent. math. (2008) 172: 491. doi:10.1007/s00222-007-0106-6
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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.