✦ LIBER ✦

Subspace Topologies in Central Extensions

✍ Scribed by Martyn Quick

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 201 KB
Volume: 246
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.8915

No coin nor oath required. For personal study only.

✦ Synopsis

The possibilities for the topology induced on the centre by the profinite topology of nilpotent groups of class two and finitely generated centre-by-metabelian groups are examined. As an application, it is shown that any finite abelian group can be embedded in the profinite completion of some countable torsion-free residually finite nilpotent group of class two and that of some finitely generated torsion-free residually finite centre-by-metabelian group.

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