Hereditarily 2-subnormal 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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Formalisms

In terms of the hereditarily operator

This property is obtained by applying the hereditarily operator to the property: 2-subnormal subgroup
View other properties obtained by applying the hereditarily operator

Relation with other properties

Stronger properties

• Central subgroup
• Abelian normal subgroup
• Subgroup of abelian normal subgroup
• Dedekind normal subgroup
• Subgroup of Dedekind normal subgroup
• Subgroup contained in the Baer norm

Weaker properties

• Right-transitively 2-subnormal subgroup
• Hereditarily subnormal subgroup

Facts

• Centralizer of commutator subgroup is hereditarily 2-subnormal