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Results tagged with geometric-group-theory
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user 119114
Large scale properties of groups; growth functions; Dehn functions; small cancellation properties; hyperbolicity and CAT(0); actions and representations; combinatorial group theory; presentations
15
votes
1
answer
457
views
Can a torsion-free group be quasi-isometric to a torsion group?
I have looked around in the literature on group theory and geometric group theory and this looks to be an open question as far as I can tell (by torsion group, I mean as usual a group in which every e …
- 5,146
2
votes
Accepted
Can a torsion-free group be quasi-isometric to a torsion group?
This is one of many open questions in geometric group theory related to quasi-isometries. Proving things about invariance under quasi-isometries is generically quite tricky, as quasi-isometries do no …
- 5,146
3
votes
Introductory text on geometric group theory?
For beginners 'A Course on Geometry Group Theory' by Brian Bowditch is nice although quite terse in places, but good for 'setting the scene'.