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arXiv · 0911.0637

Maximal representation dimension of finite p-groups

Shane Cernele·Masoud Kamgarpour·Zinovy Reichstein
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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.

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Shane Cernele, Masoud Kamgarpour, Zinovy Reichstein. 2009-11-03. Maximal representation dimension of finite p-groups. https://arxiv.org/abs/0911.0637

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