The Root-Class Residuality of Tree Products with Central Amalgamated Subgroups

Сибирский математический журнал

article

E. V. Sokolov¹  E. A. Tumanova¹ 

[1] Ivanovo State University

关键词: tree product;    residual finiteness;    residual p-finiteness;    residual solvability;    root-class residuality;   

DOI  :  10.1134/S0037446620030180

学科分类：数学（综合）

来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk

【 摘 要 】

Given a root class $$\mathscr{C}$$ of groups and a tree product P in which each amalgamated subgroup lies in the centers of the corresponding vertex groups, we point out certain sufficient conditions for the $$\mathscr{C}$$-residuality of P. In particular, we show that the tree product of solvable groups of bounded derived length with central amalgamated subgroups is residually solvable.

【 授权许可】

CC BY