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.
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页码：583 / 599
页数：17
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