Nikita A. Karpenko and Alexander S. Merkurjev: Essential dimension of finite groups

Submission: 2007, Jun 25

We prove that the essential 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.

2000 Mathematics Subject Classification: 20G15; 14C35

Keywords and Phrases: Algebraic groups, finite p-groups, essential dimension, representations, K-theory.

Full text: dvi.gz 33 k, dvi 78 k, ps.gz 817 k, pdf.gz 178 k, pdf 214 k.

Server Home Page