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arXiv · 1109.4402

Direct products of free groups and free idempotent generated semigroups over bands

Igor Dolinka
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Abstract

For each group G which decomposes into a finitary direct product of free groups of finite rank we construct a regular band B such that the free idempotent generated semigroup over B contains a maximal subgroup isomorphic to G. In particular, there exists a (regular) band B_0 with the property that any idempotent generated semigroup whose biordered set is isomorphic to that of B_0 must have all its subgroups abelian.

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Igor Dolinka. 2013-03-25. Direct products of free groups and free idempotent generated semigroups over bands. https://arxiv.org/abs/1109.4402

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