Intermediately central factor-to-direct factor

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This article defines a subgroup property: a property that can be evaluated to true/false given a group and a subgroup thereof, invariant under subgroup equivalence. View a complete list of subgroup properties[SHOW MORE]

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Definition

A subgroup of a group is termed intermediately central factor-to-direct factor if, whenever it is a central factor in an intermediate subgroup, it is also a direct factor of that intermediate subgroup.

Relation with other properties

Stronger properties

• Sylow subgroup
• Hall subgroup: For full proof, refer: Hall and central factor implies direct factor