On numbers which are orders of nilpotent groups with bounded class

Let n be a positive integer. In this short note, we characterize those numbers m for which any group of order m is an n-Engel group and those numbers m for which any group of order m has all its subgroups subnormal of defect at most n.

کلیدواژه ها:

Engel group ، subnormal subgroup ، defect