2012/03/07 by Yaroslav Shitov, Shitov, Yaroslav
Computer Science · Mathematics · #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Geometric and Algebraic Topology #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.1203.1522
openalex publication_date 2012/03/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.