Primitive permutation group

In mathematics, a permutation group G acting on a set X is called primitive if G acts transitively on X and G preserves no nontrivial partition of X. (The hypothesis of transitivity can be dropped if $|X|>2$ .) Otherwise, if G is transitive and G does preserve a nontrivial partition, G is called imprimitive.

单词	Imprimitive group
释义	Imprimitive group 英语百科 Primitive permutation group In mathematics, a permutation group G acting on a set X is called primitive if G acts transitively on X and G preserves no nontrivial partition of X. (The hypothesis of transitivity can be dropped if $\|X\|>2$ .) Otherwise, if G is transitive and G does preserve a nontrivial partition, G is called imprimitive.
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Imprimitive group

Primitive permutation group