Tropical matrices and group representations
Combinatorics
2012-03-08 v1
Abstract
The paper gives a complete description of the subgroups of the semigroup of tropical n-by-n matrices up to an isomorphism. In particular, we show that every of these groups has a torsion-free abelian subgroup of index at most n!, proving the conjecture of Johnson and Kambites.
Keywords
Cite
@article{arxiv.1203.1522,
title = {Tropical matrices and group representations},
author = {Yaroslav Shitov},
journal= {arXiv preprint arXiv:1203.1522},
year = {2012}
}