| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4587583 | Journal of Algebra | 2009 | 17 Pages |
Abstract
We study the maximal subgroups of free idempotent generated semigroups on a biordered set by topological methods. These subgroups are realized as the fundamental groups of a number of 2-complexes naturally associated to the biorder structure of the set of idempotents. We use this to construct the first example of a free idempotent generated semigroup containing a non-free subgroup.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
