On Maximal Subgroups of Free Idempotent Generated Semigroups

Details On Maximal Subgroups of Free Idempotent Generated Semigroups On Maximal Subgroups of Free Idempotent Generated Semigroups

2009-09-30

arxiv.org/abs/0909.5630v2

Mathematics

Group Theory

27 pages

Scientific paper

We prove the following results: (1) Every group is a maximal subgroup of some free idempotent generated semigroup. (2) Every finitely presented group is a maximal subgroup of some free idempotent generated semigroup arising from a finite semigroup. (3) Every group is a maximal subgroup of some free regular idempotent generated semigroup. (4) Every finite group is a maximal subgroup of some free regular idempotent generated semigroup arising from a finite regular semigroup.

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