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arXiv · 1710.10670

On the Tits alternative for $PD(3)$ groups

Michel Boileau·Steven Boyer
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Abstract

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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Michel Boileau, Steven Boyer. 2019-01-28. On the Tits alternative for $PD(3)$ groups. https://arxiv.org/abs/1710.10670

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