The profinite completion of accessible groups

被引：3
作者：
de Bessa, Vagner R. [1 ]
Porto, Anderson L. P. [2 ]
Zalesskii, Pavel A. [3 ]
机构：
[1] Univ Fed Vicosa, Vicosa, MG, Brazil
[2] Fed Univ Jequitinhonha & Mucuri Valleys, Teofilo Otoni, Brazil
[3] Univ Brasilia, Brasilia, DF, Brazil
来源：
MONATSHEFTE FUR MATHEMATIK | 2023年 / 202卷 / 02期
关键词：
Genus for groups; Profinite groups; Profinite completions; Accessible groups; RIGIDITY;
D O I：
10.1007/s00605-022-01789-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce a class A of finitely generated residually finite accessible groups with a certain natural restriction on one-ended vertex groups in their JSJ-decompositions. We prove that the profinite completion of groups in A almost detects its JSJ-decomposition and compute the genus of free products of groups in A.
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页码：217 / 227
页数：11
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