Isometry group
id:
isometry-group-324-6615070
title:
Isometry group
text:
In mathematics, the isometry group of a metric space is the set of all bijective isometries from the metric space onto itself, with the function composition as group operation. Its identity element is the identity function. The elements of the isometry group are sometimes called motions of the space. Every isometry group of a metric space is a subgroup of isometries. It represents in most cases a possible set of symmetries of objects/figures in the space, or functions defined on the space. See s
brand slug:
wiki
category slug:
encyclopedia
description:
Automorphism group of a metric space or pseudo-Euclidean space
original url:
https://en.wikipedia.org/wiki/Isometry_group
date created:
date modified:
2023-09-04T22:18:36Z
main entity:
{"identifier":"Q2211166","url":"https://www.wikidata.org/entity/Q2211166"}
image:
fields total:
13
integrity:
14