Geodesic
The congruence subgroup problem for the free metabelian group on two generators
David El-Chai Ben-Ezra1
1The Hebrew University of Jerusalem, Israel
Groups, geometry, and dynamics, Tome 10 (2016) no. 2, pp. 583-599

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DOI

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.
DOI : 10.4171/ggd/357
Classification : 20-XX
Mots-clés : Congruence subgroup problem, profinite completion, free metabelian group, free solvable group

David El-Chai Ben-Ezra  1

1 The Hebrew University of Jerusalem, Israel 
David El-Chai Ben-Ezra. The congruence subgroup problem for the free metabelian group on two generators. Groups, geometry, and dynamics, Tome 10 (2016) no. 2, pp. 583-599. doi: 10.4171/ggd/357
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     title = {The congruence subgroup problem for the free metabelian group on two generators},
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     pages = {583--599},
     year = {2016},
     volume = {10},
     number = {2},
     doi = {10.4171/ggd/357},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/357/}
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