Hyperoctahedral group
id:
hyperoctahedral-group-312-16066327
title:
Hyperoctahedral group
text:
In mathematics, a hyperoctahedral group is an important type of group that can be realized as the group of symmetries of a hypercube or of a cross-polytope. It was named by Alfred Young in 1930. Groups of this type are identified by a parameter n, the dimension of the hypercube. As a Coxeter group it is of type Bn = Cn, and as a Weyl group it is associated to the symplectic groups and with the orthogonal groups in odd dimensions. As a wreath product it is S 2 ≀ S n where Sn is the symmetric grou
brand slug:
wiki
category slug:
encyclopedia
description:
Group of symmetries of an n-dimensional hypercube
original url:
https://en.wikipedia.org/wiki/Hyperoctahedral_group
date created:
date modified:
2024-02-23T23:09:59Z
main entity:
{"identifier":"Q5958362","url":"https://www.wikidata.org/entity/Q5958362"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/1/16/C2_group_circle_domains.png","width":584,"height":642}
fields total:
13
integrity:
15