2009/09/30 by Robert D. Gray, Nik Ruškuc, Gray, Robert +1
Computer Science · Mathematics · #20F05 #20M05 #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.0909.5630
openalex publication_date 2009/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.