Join-transitively almost subnormal 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

A subgroup of a group is termed a join-transitively almost subnormal subgroup if its join with any almost subnormal subgroup is again an almost subnormal subgroup of the whole group.

Formalisms

In terms of the join-transiter

This property is obtained by applying the join-transiter to the property: almost subnormal subgroup
View other properties obtained by applying the join-transiter

Relation with other properties

Stronger properties

Property	Meaning	Proof of implication	Proof of strictness (reverse implication failure)	Intermediate notions
Normal subgroup				|FULL LIST, MORE INFO
Subgroup of finite index				|FULL LIST, MORE INFO

Weaker properties

Property	Meaning	Proof of implication	Proof of strictness (reverse implication failure)	Intermediate notions
Almost subnormal subgroup