Paranormality is strongly join-closed
This article gives the statement, and possibly proof, of a subgroup property (i.e., paranormal subgroup) satisfying a subgroup metaproperty (i.e., strongly join-closed subgroup property)
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The join of an arbitrary (possibly empty) collection of paranormal subgroups of a group is again paranormal.
- Polynormality is strongly join-closed
- Paracharacteristicity is strongly join-closed
- Polycharacteristicity is strongly join-closed