The congruence subgroup problem for the free metabelian group on two generators

被引：3

作者：

Ben-Ezra, David El-Chai ^{[1
]}

机构：

[1] Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel

来源：

GROUPS GEOMETRY AND DYNAMICS | 2016年 / 10卷 / 02期

关键词：

Congruence subgroup problem; profinite completion; free metabelian group; free solvable group; THEOREM;

D O I：

10.4171/GGD/357

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we describe the profinite completion of the free solvable group on m generators of solvability length r >= 1. Then, we show that for m = r = 2, the free metabelian group on two generators does not have the Congruence Subgroup Property.

引用

页码：583 / 599

页数：17

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