- is
pronormal.
Every Sylow subgroup is
pronormal.
Every pronormal subnormal subgroup is normal.
Every abnormal subgroup is
pronormal.
Every pronormal subgroup...
- N_{G}(H)} , we have g ∈ N G ( H ) {\displaystyle g\in N_{G}(H)} .
Every pronormal subgroup is
weakly normal. Ballester-Bolinches, Adolfo; Esteban-Romero...
-
subgroup Seminormal subgroup Conjugate permutable subgroup Modular subgroup Pronormal subgroup Paranormal subgroup Polynormal subgroup C-normal
subgroup Ideal...
- self-normalizing subgroup.
Every abnormal subgroup is a
pronormal subgroup, and
hence a
weakly pronormal subgroup, a
paranormal subgroup, and a
polynormal subgroup...
- conjugate-permutable subgroup, of a
finite group is subnormal.
Every pronormal subgroup that is also subnormal, is normal. In particular, a
Sylow subgroup...
- Here are the
relationships with
other subgroup properties:
Every weakly pronormal subgroup is polynormal.
Every paranormal subgroup is polynormal. "Polynormal...
- some
facts relating paranormality to
other subgroup properties:
Every pronormal subgroup, and hence,
every normal subgroup and
every abnormal subgroup...
