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arXiv · 1312.3480

The Congruence Subgroup Problem for the Free Metabelian Group on two generators

David El-Chai Ben-Ezra
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Abstract

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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David El-Chai Ben-Ezra. 2013-12-12. The Congruence Subgroup Problem for the Free Metabelian Group on two generators. https://arxiv.org/abs/1312.3480

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