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The Congruence Subgroup Problem for finitely generated Nilpotent Groups
David El-Chai Ben-Ezra, Alexander Lubotzky
The congruence subgroup problem for a finitely generated group and asks whether the map is injective, or more generally, what is its kern…
On Pro- Identities of Linear Groups
David El-Chai Ben-Ezra, Efim Zelmanov
Let be a free pro- non-abelian group, and let be a commutative Noetherian complete local ring with a maximal ideal such that . In [Zu],…
The Congruence Subgroup Problem for the Free Metabelian group on generators
David El-Chai Ben-Ezra
The congruence subgroup problem for a finitely generated group asks whether the map is injective, or more generally, what is its kernel…
The Congruence Subgroup Problem for low rank Free and Free Metabelian groups
David El-Chai Ben-Ezra, Alexander Lubotzky
The congruence subgroup problem for a finitely generated group asks whether is injective, or more generally, what is its kernel $C\l…
The Congruence Subgroup Problem for the Free Metabelian Group on two generators
David El-Chai Ben-Ezra
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…