Sylow subgroup of normal subgroup
This page describes a subgroup property obtained as a composition of two fundamental subgroup properties: Sylow subgroup and normal subgroup
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- It is a Sylow subgroup of a normal subgroup of the whole group.
- It is the intersection of a normal subgroup of the whole group with a Sylow subgroup of the whole group.
- It is a Sylow subgroup inside its normal closure.
Equivalence of definitions
Further information: Equivalence of definitions of Sylow subgroup of normal subgroup