Inventiones mathematicae

, Volume 172, Issue 3, pp 491–508 | Cite as

Essential dimension of finite p-groups

  • Nikita A. KarpenkoEmail author
  • Alexander S. Merkurjev


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.


Algebraic Group Isomorphism Class Essential Dimension Valuation Ring Faithful Representation 
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© Springer-Verlag 2008

Authors and Affiliations

  1. 1.Institut de Mathématiques de JussieuUniversité Pierre et Marie Curie (Paris 6)Paris Cedex 05France
  2. 2.Department of MathematicsUniversity of CaliforniaLos AngelesUSA

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