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On groups whose subgroups are closed in the profinite topology |
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| Authors: | Derek J.S. Robinson Alessio Russo |
| Affiliation: | a Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA b Dipartimento di Matematica, Seconda Università di Napoli, 81100 Caserta, Italy c Dipartimento di Matematica e Informatica, Università di Salerno, 84084 Fisciano (Salerno), Italy |
| Abstract: | A group is called extended residually finite (ERF) if every subgroup is closed in the profinite topology. The ERF-property is studied for nilpotent groups, soluble groups, locally finite groups and FC-groups. A complete characterization is given of FC-groups which are ERF. |
| Keywords: | Primary 20E26 |
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