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Results tagged with gr.group-theory
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user 119114
Questions about the branch of algebra that deals with groups.
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
3
votes
0
answers
163
views
First reference to the Tits alternative
As we know, the "Tits alternative" is a theorem relating to finitely generated linear groups.
I was curious as to where in the literature the Tits alternative is first referred to by this name, as I …
- 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'.
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