# Multiplicative structure of 2x2 tropical matrices - Mathematics > Group Theory

Abstract: We study the algebraic structure of the semigroup of all $2 \times 2$tropical matrices under multiplication. Using ideas from tropical geometry, wegive a complete description of Green-s relations and the idempotents andmaximal subgroups of this semigroup.

Author: Marianne Johnson, Mark Kambites

Source: https://arxiv.org/