Tropical matrices and group representations

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.

References in corpus (1)

• Tropical matrix duality and Green's D relation