Hyperbolic group
id:
hyperbolic-group-291-12616873
title:
Hyperbolic group
text:
In group theory, more precisely in geometric group theory, a hyperbolic group, also known as a word hyperbolic group or Gromov hyperbolic group, is a finitely generated group equipped with a word metric satisfying certain properties abstracted from classical hyperbolic geometry. The notion of a hyperbolic group was introduced and developed by Mikhail Gromov (1987). The inspiration came from various existing mathematical theories: hyperbolic geometry but also low-dimensional topology, and combina
brand slug:
wiki
category slug:
encyclopedia
description:
Mathematical concept
original url:
https://en.wikipedia.org/wiki/Hyperbolic_group
date created:
date modified:
2024-01-26T18:41:34Z
main entity:
{"identifier":"Q81194","url":"https://www.wikidata.org/entity/Q81194"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/5/5f/Cyclic_group.svg","width":443,"height":431}
fields total:
13
integrity:
15