Primitive permutation group
id:
primitive-permutation-group-247-1566738
title:
Primitive permutation group
text:
In mathematics, a permutation group G acting on a non-empty finite set X is called primitive if G acts transitively on X and the only partitions the G-action preserves are the trivial partitions into either a single set or into |X| singleton sets. Otherwise, if G is transitive and G does preserve a nontrivial partition, G is called imprimitive. While primitive permutation groups are transitive, not all transitive permutation groups are primitive. The simplest example is the Klein four-group acti
brand slug:
wiki
category slug:
encyclopedia
description:
Permutation group that preserves no non-trivial partition
original url:
https://en.wikipedia.org/wiki/Primitive_permutation_group
date created:
date modified:
2023-10-06T15:13:43Z
main entity:
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image:
fields total:
13
integrity:
14