Nearly closed 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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Definition

A subgroup $H$ of a group $G$ is said to be nearly closed in $G$ if every endomorphism of $H$ extends uniquely to an endomorphism of $G$.

Relation with other properties

Stronger properties

• Homomorphism-closed subgroup

Weaker properties

• EEP-subgroup

References

• On a question of Farjoun by Michael Aschbacher, Finite Groups 2003 published by Walter de Gruyter