Real element
id:
real-element-273-5865432
title:
Real element
text:
In group theory, a discipline within modern algebra, an element x of a group G is called a real element of G if it belongs to the same conjugacy class as its inverse x − 1 , that is, if there is a g in G with x g = x − 1 , where x g is defined as g − 1 ⋅ x ⋅ g . An element x of a group G is called strongly real if there is an involution t with x t = x − 1 . An element x of a group G is real if and only if for all representations ρ of G , the trace T r of the corresponding matrix is a real number
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Real_element
date created:
date modified:
2022-11-14T03:41:23Z
main entity:
{"identifier":"Q25105219","url":"https://www.wikidata.org/entity/Q25105219"}
image:
fields total:
13
integrity:
13