2007/12/13 by Benjamin Steinberg, Steinberg, Benjamin
Computer Science · Mathematics · #Advanced Topology and Set Theory #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #math.GR #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.0712.2254
arxiv created 2007/12/13 · openalex publication_date 2007/12/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We answer a question of Margolis from 1997 by establishing that the maximal subgroup of the minimal ideal of a finitely generated free profinite monoid is a free profinite group. More generally if \mathbf H is variety of finite groups closed under extension and containing \mathbb Z/p\mathbb Z for infinitely may primes p, the corresponding result holds for free pro-\mathbf H monoids.