Maximal representation dimension of finite p-groups
Representation Theory
2010-11-22 v3
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.
Cite
@article{arxiv.0911.0637,
title = {Maximal representation dimension of finite p-groups},
author = {Shane Cernele and Masoud Kamgarpour and Zinovy Reichstein},
journal= {arXiv preprint arXiv:0911.0637},
year = {2010}
}
Comments
The latest version of the article including modifications recommended by the referee