Hereditarily 2-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]

Definition

Definition with symbols

A subgroup H of a group G is termed a hereditarily 2-subnormal subgroup if, for any subgroup K of H, K is a 2-subnormal subgroup of G.

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

Weaker properties

Facts