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arxiv: 1710.10670 · v3 · pith:BD4ZMOXZnew · submitted 2017-10-29 · 🧮 math.GT

On the Tits alternative for PD(3) groups

classification 🧮 math.GT
keywords groupalmostalternativecoherenttitsalwayscannotcontains
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We prove the Tits alternative for an almost coherent $PD(3)$ group which is not virtually properly locally cyclic. In particular, we show that an almost coherent $PD(3)$ group which cannot be generated by fewer than four elements always contains a rank 2 free group.

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