Representation dimension of some finite groups
Group Theory
2023-08-04 v1 Representation Theory
Abstract
For a finite group , the representation dimension is the smallest integer realizable as the degree of a complex faithful representation of . In this article, we compute representation dimension for some -groups, their direct products, and groups with certain conditions on nonlinear irreducible characters. We also make similar computations for the smallest integer realizable as the degree of an irreducible complex faithful representation of , if one exists. In the appendix, we present GAP codes to compute these numbers.
Cite
@article{arxiv.2308.01612,
title = {Representation dimension of some finite groups},
author = {Gurleen Kaur and Amit Kulshrestha and Anupam Singh},
journal= {arXiv preprint arXiv:2308.01612},
year = {2023}
}