Talk:Relatively hyperbolic group

Coned off graph
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 &Gamma;(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.)

JF Manning (talk) 19:59, 18 August 2009 (UTC)

Relative to what?
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)