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Subgroups of Free Idempotent Generated Semigroups Need Not Be Free by Brittenham, Mark; Margolis, Stuart W.; Meakin, John is a scholarly article available to read on EtoBox.

What is Subgroups of Free Idempotent Generated Semigroups Need Not Be Free about?

We use topological methods to study the maximal subgroups of the free idempotent generated semigroup on a biordered set. We use these to give an example of a free idempotent generated semigroup with maximal subgroup isomorphic to the free abelian group of rank 2. This is the first example of a non-free subgroup of a free idempotent generated semigroup.

Author

Brittenham, Mark; Margolis, Stuart W.; Meakin, John

Published

2008

Language

EN