Join of subnormal subgroups

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BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]
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]
If the ambient group is a finite group, this property is equivalent to the property: subnormal subgroup
View other properties finitarily equivalent to subnormal subgroup | View other variations of subnormal subgroup |
This is a variation of subnormality|Find other variations of subnormality |

Definition

Symbol-free definition

A subgroup of a group is termed a join of subnormal subgroups if it can be expressed as the join of a collection of subnormal subgroups of the group.

Formalisms

In terms of the join-closure operator

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

Relation with other properties

Stronger properties

Weaker properties