Join of subnormal subgroups: Difference between revisions
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Revision as of 22:10, 22 February 2009
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 |
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