Sylow-permutable subgroup

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Definition

Symbol-free definition

A subgroup $H$ of a finite group $G$ is termed Sylow-permutable if it permutes with every Sylow subgroup of $G$.

Relation with other properties

Stronger properties

• Permutable subgroup

Weaker properties

• Subnormal subgroup: For full proof, refer: Sylow-permutable implies subnormal in finite