On Conditions for the Approximability of the Fundamental Groups of Graphs of Groups by Root Classes of Groups

被引:0
作者
E. V. Sokolov
机构
[1] Ivanovo State University,
来源
Lobachevskii Journal of Mathematics | 2023年 / 44卷
关键词
residual finiteness; residual ; -finiteness; residual solvability; approximability by root classes; generalized free product; HNN-extension; tree product; fundamental group of a graph of groups;
D O I
暂无
中图分类号
学科分类号
摘要
引用
收藏
页码:5444 / 5452
页数:8
相关论文
共 50 条
[21]   Automaticity for graphs of groups [J].
Hermiller, Susan ;
Holt, Derek ;
Rees, Sarah ;
Susse, Tim .
GROUPS GEOMETRY AND DYNAMICS, 2021, 15 (02) :503-551
[22]   The root class residuality of Baumslag–Solitar groups [J].
E. A. Tumanova .
Siberian Mathematical Journal, 2017, 58 :546-552
[23]   On the Root-Class Residuality of Certain HNN-Extensions of Groups [J].
Tumanova, E. A. .
RUSSIAN MATHEMATICS, 2020, 64 (12) :38-45
[24]   GENERALIZED DIRECT PRODUCTS OF GROUPS AND THEIR APPLICATION TO THE STUDY OF RESIDUALITY OF FREE CONSTRUCTIONS OF GROUPS [J].
Sokolov, E. V. ;
Tumanova, E. A. .
ALGEBRA AND LOGIC, 2020, 58 (06) :480-493
[25]   The Root Class Residuality of the Tree Product of Groups with Amalgamated Retracts [J].
Tumanova, E. A. .
SIBERIAN MATHEMATICAL JOURNAL, 2019, 60 (04) :699-708
[26]   On the Root-Class Residuality of Certain Free Products of Groups with Normal Amalgamated Subgroups [J].
Sokolov, E., V ;
Tumanova, E. A. .
RUSSIAN MATHEMATICS, 2020, 64 (03) :43-56
[27]   The Jordan property for local fundamental groups [J].
Braun, Lukas ;
Filipazzi, Stefano ;
Moraga, Joaquin ;
Svaldi, Roberto .
GEOMETRY & TOPOLOGY, 2022, 26 (01) :283-319
[28]   On residual finiteness of graphs of nilpotent groups [J].
Raptis, E ;
Talelli, O ;
Varsos, D .
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2004, 14 (04) :403-408
[29]   On Two Classes of Very Basic and Important Groups [J].
Zeng, Lijiang .
INTERNATIONAL CONFERENCE ON SOCIAL SCIENCE, MANAGEMENT AND ECONOMICS (SSME 2015), 2015, :782-787
[30]   Commensurability classes of discrete arithmetic hyperbolic groups [J].
Maclachlan, Colin .
GROUPS GEOMETRY AND DYNAMICS, 2011, 5 (04) :767-785