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

Published 7 Jan 2013 in math.GR | (1301.1225v2)

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 papers in the area.

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