Authors
Citation
Yv. Kuzmin, DIMENSION SUBGROUPS OF EXTENSIONS WITH AN ABELIAN KERNEL, Sbornik. Mathematics, 187(5-6), 1996, pp. 685-691
Citations number
19
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
10645616
Volume
187
Issue
5-6
Year of publication
1996
Pages
685 - 691
Database
ISI
SICI code
1064-5616(1996)187:5-6<685:DSOEWA>2.0.ZU;2-P
Abstract
It is known that the dimension subgroup problem can be solved affirmat
ively 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 Ab
elian group.