Unique product groups and congruence subgroups

2020/03/10 by Craig, William, Linnell, Peter A.
#16U60 #20E18 (Primary) 16S34 #20E18 (Secondary) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2003.04945

Abstract

We prove that a uniform pro-p group with no nonabelian free subgroups has a normal series with torsion-free abelian factors. We discuss this in relation to unique product groups. We also consider generalizations of Hantzsche-Wendt groups.

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