On Residual Separability of Subgroups in Split Extensions

In 1973, Allenby and Gregoras proved the following statement. Let G be a split extension of a finitely generated group A by the group B. 1) If in groups A and B all subgroups (all cyclic subgroups) are finitely separable, then in group G all subgroups (all cyclic subgroups) are finitely separable; 2) i...

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Bibliographic Details
Main Author: A. A. Krjazheva
Format: Article
Language:English
Published: Yaroslavl State University 2015-08-01
Series:Моделирование и анализ информационных систем
Subjects:
Online Access:https://www.mais-journal.ru/jour/article/view/268