Relatively rigid 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 of a group is termed a relatively rigid subgroup if any automorphism of the subgroup that extends to an automorphism of the whole group, must be an inner automorphism of the subgroup.

Relation with other properties

Stronger properties

• Inner-characteristic subgroup
• Locally relatively rigid subgroup

Weaker properties

• Central factor of normalizer