The Congruence Subgroup Problem for the Free Metabelian Group on two generators
Group Theory
2014-07-22 v2
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.
Keywords
Cite
@article{arxiv.1312.3480,
title = {The Congruence Subgroup Problem for the Free Metabelian Group on two generators},
author = {David El-Chai Ben-Ezra},
journal= {arXiv preprint arXiv:1312.3480},
year = {2014}
}
Comments
14 pages