Groups with all Subgroups Subnormal or Nilpotent-by-Chernikov
Groups with all Subgroups Subnormal or Nilpotent-by-Chernikov
It was proved by Asar in [1] that a locally nilpotent group in which every proper subgroup is nilpotent-by-Chernikov is itself nilpotent-by-Chernikov.It is easy to see that the main problem here lies with establishing solubility, since a non-trivial soluble group G has a homomorphic image that is either cyclic or …