• theory, a pronormal subgroup is a subgroup that is embedded in a nice way. Pronormality is a simultaneous generalization of both normal subgroups and abnormal...
    2 KB (184 words) - 12:19, 13 August 2023
  • Thumbnail for Normal subgroup
    Descendant subgroup Quasinormal subgroup Seminormal subgroup Conjugate permutable subgroup Modular subgroup Pronormal subgroup Paranormal subgroup Polynormal...
    19 KB (3,157 words) - 18:43, 9 May 2024
  • weakly abnormal subgroup is a self-normalizing subgroup. Every abnormal subgroup is a pronormal subgroup, and hence a weakly pronormal subgroup, a paranormal...
    2 KB (207 words) - 23:53, 12 August 2023
  • 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, R....
    1 KB (131 words) - 19:22, 5 January 2024
  • quasinormal subgroup, and, more generally, every conjugate-permutable subgroup, of a finite group is subnormal. Every pronormal subgroup that is also...
    2 KB (319 words) - 19:52, 25 October 2023
  • subgroup properties: Every pronormal subgroup, and hence, every normal subgroup and every abnormal subgroup, is paranormal. Every paranormal subgroup...
    1 KB (166 words) - 21:06, 26 November 2022
  • subgroup properties: Every weakly pronormal subgroup is polynormal. Every paranormal subgroup is polynormal. "Polynormal subgroup - Groupprops". groupprops.subwiki...
    1 KB (121 words) - 08:02, 25 August 2023