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

Published 29 Oct 2017 in math.GT | (1710.10670v3)

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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