Relatively hyperbolic group (source code)

= Relatively hyperbolic group
{wiki=Relatively_hyperbolic_group}

A relatively hyperbolic group is a type of group in geometric group theory that generalizes the concept of hyperbolic groups. A group \\( G \\) is said to be relatively hyperbolic with respect to a collection of subgroups \\( \\mathcal\{P\} \\) if the asymptotic geometry of \\( G \\) behaves somewhat like that of a hyperbolic group, but it can include additional structure provided by the subgroups in \\( \\mathcal\{P\} \\).