In mathematics, in the field of group theory, a paranormal subgroup is a subgroup such that the subgroup generated by it and any conjugate of it, is also generated by it and a conjugate of it within that subgroup.
In symbols,
H
G
g
G
K
H
Hg
HK
Here are some facts relating paranormality to other subgroup properties:
Book: William Kantor. Kantor. William M.. Martino. Lino Di. Groups of Lie Type and Their Geometries. 12 January 1995. Cambridge University Press. 9780521467902. 257–259.