On free profinite subgroups of free profinite monoids
Abstract
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 H is variety of finite groups closed under extension and containing Z/p Z for infinitely may primes p, the corresponding result holds for free pro- H monoids.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.