Weakly normal subgroup

Weakly normal subgroup

In mathematics, in the field of group theory, a subgroup H of a group G is said to be weakly normal if whenever H^g leq N_G(H), we have g in N_G(H).

Every pronormal subgroup is weakly normal.

References

* | year=2003 | journal=Journal of the Australian Mathematical Society | issn=1446-7887 | volume=75 | issue=2 | pages=181–191
* | year=1966 | journal=Rendiconti del Seminario Matematico della Università di Padova. The Mathematical Journal of the University of Padova | issn=0041-8994 | volume=36 | pages=129–157


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