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On groups whose subgroups are closed in the profinite topology

Authors :
Robinson, Derek J.S.
Russo, Alessio
Vincenzi, Giovanni
Source :
Journal of Pure & Applied Algebra. Apr2009, Vol. 213 Issue 4, p421-429. 9p.
Publication Year :
2009

Abstract

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. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
00224049
Volume :
213
Issue :
4
Database :
Academic Search Index
Journal :
Journal of Pure & Applied Algebra
Publication Type :
Academic Journal
Accession number :
36106126
Full Text :
https://doi.org/10.1016/j.jpaa.2008.07.015