Normal subgroup of Sylow subgroup

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This page describes a subgroup property obtained as a composition of two fundamental subgroup properties: normal subgroup and Sylow subgroup
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A subgroup of a finite group is termed a normal subgroup of Sylow subgroup if it can be expressed as a normal subgroup of a p-Sylow subgroup of the whole for some prime p.

Relation with other properties

Stronger properties

Weaker properties