Maximal subgroups of the minimal ideal of a free profinite monoid are free |
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| Authors: | Benjamin Steinberg |
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| Institution: | 1.School of Mathematics and Statistics,Carleton University,Ottawa,Canada |
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| 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/pℤ for infinitely may primes p, the corresponding result holds for free pro-$
\bar H
$
\bar H
monoids. |
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| Keywords: | |
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