# Polynormal subgroup

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In mathematics, in the field of group theory, a subgroup of a group is said to be **polynormal** if its closure under conjugation by any element of the group can also be achieved via closure by conjugation by some element in the subgroup generated.

In symbols, a subgroup of a group is called polynormal if for any the subgroup is the same as .

Here are the relationships with other subgroup properties:

- Every weakly pronormal subgroup is polynormal.
- Every paranormal subgroup is polynormal.