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- Title
The Root-Class Residuality of Tree Products with Central Amalgamated Subgroups.
- Authors
Sokolov, E. V.; Tumanova, E. A.
- Abstract
Given a root class 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 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.
- Subjects
SOLVABLE groups; GROUP products (Mathematics); TREES
- Publication
Siberian Mathematical Journal, 2020, Vol 61, Issue 3, p545
- ISSN
0037-4466
- Publication type
Article
- DOI
10.1134/S0037446620030180