Intermediately injective endomorphism-invariant subgroup

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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

Symbol-free definition

A subgroup of a group is termed intermediately I-characteristic if it is an I-characteristic subgroup inside every intermediate subgroup.

Relation with other properties

Stronger properties

• Isomorph-containing subgroup
• Isomorph-free subgroup
• Homomorph-containing subgroup
• Intermediately fully characteristic subgroup

Weaker properties

• Intermediately characteristic subgroup
• I-characteristic subgroup
• Characteristic subgroup