This article is cited in 3 papers

Dimension subgroups of extensions with an Abelian kernel

Yu. V. Kuz'min

Moscow State University of Transportation

Abstract: It is known that the dimension subgroup problem can be solved affirmatively in the class of groups whose lower central series quotients are torsion-free. In this paper it is proved that the same result is true for an arbitrary extension of a group belonging to this class by an Abelian group.

UDC: 512.04

MSC: Primary 20F14; Secondary 20F18, 20E10, 20E07

Received: 14.07.1995

DOI: 10.4213/sm128

 English version: Sbornik: Mathematics, 1996, 187:5, 685–691

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