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Essential dimension of finite <Emphasis Type="Italic">p</Emphasis>-groups |
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| Authors: | Nikita A Karpenko Alexander S Merkurjev |
| Institution: | (1) Institut de Mathématiques de Jussieu, Université Pierre et Marie Curie (Paris 6), 4 place Jussieu, 75252 Paris Cedex 05, France;(2) Department of Mathematics, University of California, Los Angeles, CA 90095-1555, USA |
| 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. Mathematics Subject Classification (2000) 20G15; 14C35 |
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