Abstract. A group is called extended residually ¯nite (ERF) if every subgroup is closed in the pro¯nite topology. The ERF-property is studied for nilpotent groups, soluble groups, locally ¯nite groups and FC-groups. A complete characterization is given of FC-groups which are ERF.
On groups whose subgroups are closed in the profinite topology
VINCENZI, Giovanni
2009
Abstract
Abstract. A group is called extended residually ¯nite (ERF) if every subgroup is closed in the pro¯nite topology. The ERF-property is studied for nilpotent groups, soluble groups, locally ¯nite groups and FC-groups. A complete characterization is given of FC-groups which are ERF.File in questo prodotto:
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