On the $$\sigma $$-Nilpotent Norm and the $$\sigma $$-Nilpotent Hypernorm of a Finite Group

Generalized norms of groups: retrospective review and current status

“…In 2020 B. Hu, J. Huang and A. Skiba [56,134] considered the σnilpotent norm N σ (G) of a group G, which is the intersection of the normalizers of the σ-nilpotent residuals of all subgroups of G.…”