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This article is cited in 6 scientific papers (total in 6 papers)
The root-class residuality of tree products with central amalgamated subgroups
E. V. Sokolov, E. A. Tumanova Ivanovo State University
Abstract:
Given a root class ${\Cal C}$ 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 ${\Cal C}$-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.
Keywords:
tree product, residual finiteness, residual $p$-finiteness, residual solvability, root-class residuality.
Received: 06.11.2019 Revised: 26.02.2020 Accepted: 08.04.2020
Citation:
E. V. Sokolov, E. A. Tumanova, “The root-class residuality of tree products with central amalgamated subgroups”, Sibirsk. Mat. Zh., 61:3 (2020), 692–702; Siberian Math. J., 61:3 (2020), 545–551
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https://www.mathnet.ru/eng/smj6013 https://www.mathnet.ru/eng/smj/v61/i3/p692
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Abstract page: | 153 | Full-text PDF : | 49 | References: | 20 |
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