On free profinite subgroups of free profinite monoids
Steinberg, Benjamin
Original · EN
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/pZ for infinitely may primes p, the corresponding result holds for free pro-H monoids.
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