Inventiones mathematicae

, Volume 172, Issue 3, pp 491–508

Essential dimension of finite p-groups


DOI: 10.1007/s00222-007-0106-6

Cite this article as:
Karpenko, N. & Merkurjev, A. Invent. math. (2008) 172: 491. doi:10.1007/s00222-007-0106-6


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.

Copyright information

© 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