Stably free cancellation for group rings of metacyclic type

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Abstract

Let p,q be primes such that q|p−1⁠. Write Fn for the free group of rank n≥1 and let G(p,q)=Cp⋊Cq⁠. We show that any stably free module over Z[G(p,q)×Fn] is necessarily free.
Original languageEnglish
Pages (from-to)603–618
Number of pages16
JournalQuarterly Journal of Mathematics
Volume70
Issue number2
Early online date30 Jun 2019
DOIs
Publication statusPublished - 8 Nov 2019

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