Autor:	Arzhantseva, Goulnara, Gal, Światosław R.
Rok vydání:	2013
Předmět:	Mathematics - Group Theory Mathematics - Dynamical Systems 20E26 20E22 20E25 37B05 37B10
Zdroj:	Annales Math\'ematiques Blaise Pascal, Tome 27 (2020) no. 1, pp. 125-130
Druh dokumentu:	Working Paper
DOI:	10.5802/ambp.386
Popis:	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 a surjunctive group is surjunctive. This remained unknown even for direct products of a surjunctive group with the integers Z. Comment: 6 pages, no figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1312.7682 Zobrazit plný text záznamu View this record from Arxiv