Abstract
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.
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Mathematics Subject Classification (2000)
20G15; 14C35
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Karpenko, N., Merkurjev, A. Essential dimension of finite p-groups. Invent. math. 172, 491–508 (2008). https://doi.org/10.1007/s00222-007-0106-6
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DOI: https://doi.org/10.1007/s00222-007-0106-6