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Maximal representation dimension of finite p-groups

arXiv:0911.0637

Abstract

The representation dimension of a finite group G is the smallest positive integer m for which there exists an embedding of G in GL_m(C). In this paper we find the largest value of representation dimensions, as Granges over all groups of order p^n, for a fixed prime p and a fixed exponent n greater than zero.

The latest version of the article including modifications recommended by the referee