THE ROOT-CLASS RESIDUALITY OF SOME GENERALIZED FREE PRODUCTS AND HNN-EXTENSIONS

被引：2

作者：

Sokolov, E. V. ^{[1
]}

Tumanova, E. A. ^{[1
]}

机构：

[1] Ivanovo State Univ, Ivanovo, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2023年 / 64卷 / 02期

基金：

俄罗斯科学基金会;

关键词：

root-class residuality of groups; residual finiteness; residual solvability; generalized free product; HNN-extension; tree product; POLYGONAL PRODUCTS; FUNDAMENTAL-GROUPS; SUBGROUPS; GRAPHS;

D O I：

10.1134/S003744662302012X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a root class C of groups, we establish some necessary and sufficient conditions for the C-residuality of the free product of the two groups with amalgamated subgroups one of which is central in the corresponding free factor. We apply these results to obtain the criteria and sufficient conditions for the C-residuality of some HNN-extensions and tree products.

引用

页码：393 / 406

页数：14

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