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The Congruence Subgroup Problem for the Free Metabelian Group on two generators (1312.3480v2)

Published 12 Dec 2013 in math.GR

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.