Hyperbolic group - Encyclopedia of Mathematics.
Hyperbolic groups, Essays in Group Theory (1987) by M Gromov Venue: Math. Sci. Res. Inst. Publ., Add To MetaCart. Tools. Sorted by. a concept of tree-graded metric space and we use it to show quasi-isometry invariance of certain classes of relatively hyperbolic groups, to obtain a characterization of relatively hyperbolic groups in terms of.Gromov introduced geometric group theory, the study of infinite groups via the geometry of their Cayley graphs and their word metric. In 1981 he proved Gromov's theorem on groups of polynomial growth: a finitely generated group has polynomial growth (a geometric property) if and only if it is virtually nilpotent (an algebraic property).Hyperbolic groups are sometimes called word hyperbolic groups or negatively curved groups. A finite group is a trivial example of a hyperbolic group. Free groups of finite rank (cf. Free group ) and fundamental groups of compact Riemannian manifolds of negative sectional curvature (cf. Fundamental group; Riemannian manifold ) are hyperbolic.
Gromov hyperbolic groups essays in group theory public policy decembrie 9, 2018. In Gromov hyperbolic groups essays in group theory public policy 0 Comment. Gromov hyperbolic groups essays in group theory public policy. 4 stars based on 37 reviews sandroliv.com Essay.In group theory, a hyperbolic group, also known as a word hyperbolic group, Gromov hyperbolic group, negatively curved group is a finitely generated group equipped with a word metric satisfying certain properties characteristic of hyperbolic geometry.
Invariant measures on the space of horofunctions of a word hyperbolic group - Volume 30 Issue 1 - LEWIS BOWEN.
