Groupprops, The Group Properties Wiki (pre-alpha)
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Contents 1 Definition 2 Relation with other properties 2.1 Stronger properties

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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.
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VIEW FACTS THAT:| prove, or show that, a subgroup satisfies the property
RANDOM SUBGROUP PROPERTY: Abelian normal subgroup: A subgroup that is Abelian as a group and normal as a subgroup.

Definition

A subgroup H of a group G is termed a CDIN-subgroup, or is said to be conjugacy-determined in normalizer, if H is a conjugacy-determined subgroup in its normalizer N_G(H) relative to G.

Relation with other properties

Stronger properties

• SCDIN-subgroup
• Conjugacy-closed subgroup
• Sylow CDIN-subgroup
• Sylow TI-subgroup: For full proof, refer: Sylow and TI implies CDIN