Jordan–Schur theorem
id:
jordan-schur-theorem-274-8792206
title:
Jordan–Schur theorem
text:
In mathematics, the Jordan–Schur theorem also known as Jordan's theorem on finite linear groups is a theorem in its original form due to Camille Jordan. In that form, it states that there is a function ƒ(n) such that given a finite subgroup G of the group GL(n, C) of invertible n-by-n complex matrices, there is a subgroup H of G with the following properties: H is abelian.
H is a normal subgroup of G.
The index of H in G satisfies (G : H) ≤ ƒ(n). Schur proved a more general result that applies w
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wiki
category slug:
encyclopedia
description:
A mathematical theorem on finite linear groups
original url:
https://en.wikipedia.org/wiki/Jordan%E2%80%93Schur_theorem
date created:
date modified:
2023-07-17T12:51:32Z
main entity:
{"identifier":"Q2360531","url":"https://www.wikidata.org/entity/Q2360531"}
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13
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