Jordan's theorem (symmetric group)
id:
jordan-s-theorem-symmetric-group-174-18202690
title:
Jordan's theorem (symmetric group)
text:
In finite group theory, Jordan's theorem states that if a primitive permutation group G is a subgroup of the symmetric group Sn and contains a p-cycle for some prime number p < n − 2, then G is either the whole symmetric group Sn or the alternating group An. It was first proved by Camille Jordan. The statement can be generalized to the case that p is a prime power.
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Jordan%27s_theorem_(symmetric_group)
date created:
2011-08-21T22:25:30Z
date modified:
2024-09-03T11:10:47Z
main entity:
{"identifier":"Q6276298","url":"https://www.wikidata.org/entity/Q6276298"}
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fields total:
13
integrity:
14