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Annales mathématiques Blaise Pascal

Subject Areas: Algebra and Number Theory
ISSN: 2118-7436
SJR: 2

2013
Volume 2020
Issue 1312 (Dec)

Open Access

Journal Article

On approximation properties of semidirect products of groups

Arzhantseva, Goulnara; Gal, Światosław R.

2013 Mathematics

doi:10.5802/ambp.386

Abstract: Let R be a class of groups closed under taking semidirect products with finite kernel and fully residually R-groups. We prove that R contains all R-by-{finitely generated residually finite} groups. It follows that a semidirect product of a finitely generated residually finite group with...

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