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Mar 4, 2014 at 23:48 comment added Stefan Kohl @SébastienPalcoux: Let $G$ be the group mentioned under "Ad 2" in mathoverflow.net/questions/112527, and let $H$ be the permutation group induced by $G$ on $\mathbb{N}$. If $H$ is a subgroup of one of the groups this question asks for, then the Collatz graph has only finitely many connected components. -- That said, the question is much more general, and a sufficiently explicit answer could be of interest well beyond the Collatz conjecture.
Mar 4, 2014 at 22:34 comment added Sebastien Palcoux What's the relation with the Collatz conjecture ?
Jan 25, 2014 at 11:10 history edited Stefan Kohl CC BY-SA 3.0
Tried to make the question easier to parse, following HJRW's comment.
Jan 25, 2014 at 10:15 history asked Stefan Kohl CC BY-SA 3.0