Maximal representation dimension of finite p-groups

Details Maximal representation dimension of finite p-groups Maximal representation dimension of finite p-groups

2009-11-03

arxiv.org/abs/0911.0637v3

Mathematics

Representation Theory

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

Scientific paper

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.

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