Subnormal intersection property

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This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
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This property makes sense for infinite groups. For finite groups, it is always true

Definition

Symbol-free definition

A group is said to possess the subnormal intersection property if an arbitrary intersection of subnormal subgroups of the group is also subnormal.

Relation with other properties

Stronger properties