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arXiv · 1301.1225

Every group is a maximal subgroup of the free idempotent generated semigroup over a band

Igor Dolinka·Nik Ruškuc
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Abstract

Given an arbitrary group $G$ we construct a semigroup of idempotents (band) $B_G$ with the property that the free idempotent generated semigroup over $B_G$ has a maximal subgroup isomorphic to $G$. If $G$ is finitely presented then $B_G$ is finite. This answers several questions from recent papers in the area.

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Igor Dolinka, Nik Ruškuc. 2013-01-12. Every group is a maximal subgroup of the free idempotent generated semigroup over a band. https://doi.org/10.1142/s0218196713500100

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