Talk:Relatively hyperbolic group
Add topicLatest comment: 12 years ago by Suhagja in topic Relative to what?
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Coned off graph
[edit]I removed the following sentence:
" If H is a normal subgroup then the coned off Cayley graph is the same as the quotient graph of Γ(G) by the action of H. "
as it is wrong. It is probably correct to say that in this case the coned off Cayley graph is quasi-isometric to the quotient graph, but it is certainly not the same. (Consider the case H = G.)
Relative to what?
[edit]From the examples section:
- The mapping class group of an orientable finite type surface is either hyperbolic (when 3g+n<5, where g is the genus and n is the number of punctures) or is not relatively hyperbolic.
- The automorphism group and the outer automorphism group of a free group of finite rank at least 3 are not relatively hyperbolic.
These statements do not really make sense as long as one does not explicite relative to which subgroups those groups are not relativley hyperbolic.--Suhagja (talk) 16:13, 20 November 2013 (UTC)