TI-subgroup

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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VIEW FACTS THAT:use, or start with, a subgroup satisfying the property|prove, or show that, a subgroup satisfies the property

Definition

A subgroup $H$ of a group $G$ is termed a TI-subgroup if its intersection with any distinct conjugate subgroup is the trivial group.

Relation with other properties

Stronger properties

• Normal subgroup
• Malnormal subgroup
• Sylow TI-subgroup