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

2013/12/12 by David El-Chai Ben-Ezra, Ben-Ezra, David El-Chai
Mathematics · #20F28 #20H05 #FOS: Mathematics #Group Theory (math.GR) #Primary 20E18 #Secondery 20E05 #math.GR #msc:20E05 #msc:20E18 #msc:20F28 #msc:20H05

paper · pdf · doi:10.48550/arxiv.1312.3480

14 pages

arxiv created 2014/07/20 · arxiv updated 2014/07/22

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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