Pro-p subgroups of profinite completions of 3-manifold groups

被引：4

作者：

Wilton, Henry ^{[1
]}

Zalesskii, Pavel ^{[2
]}

机构：

[1] Ctr Math Sci, Dept Pure Math & Math Stat, Wilberforce Rd, Cambridge CB3 0WB, England

[2] Univ Brasilia, Dept Math, BR-70910900 Brasilia, DF, Brazil

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2017年 / 96卷

基金：

英国工程与自然科学研究理事会;

关键词：

FINITE CENTRALIZER; TORSION ELEMENTS; SEPARABILITY; GEOMETRIES;

D O I：

10.1112/jlms.12067

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We completely describe the finitely generated pro-p subgroups of the profinite completion of the fundamental group of an arbitrary 3-manifold. We also prove a pro-p analogue of the main theorem of Bass-Serre theory for finitely generated pro-p groups.

引用

页码：293 / 308

页数：16