Tropical matrices and group representations

Details Tropical matrices and group representations Tropical matrices and group representations

2012-03-07

arxiv.org/abs/1203.1522v1

Mathematics

Combinatorics

Scientific paper

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.

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