Abstract
It is shown that every profinite torsion group has a finite series of closed characteristic subgroups in which each factor either is a pro-p-group for some primep or is isomorphic to a Cartesian product of isomorphic finite simple groups.
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Wilson, J.S. On the structure of compact torsion groups. Monatshefte für Mathematik 96, 57–66 (1983). https://doi.org/10.1007/BF01298934
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DOI: https://doi.org/10.1007/BF01298934