Finite local nearrings with split metacyclic additive group

In the paper the split metacyclic groups which are the additive groups of finite local nearrings are classifie

Groups with many abelian subgroups

AbstractIt is known that a (generalized) soluble group whose proper subgroups are abelian is either abelian or finite, and finite minimal non-abelian groups are classified. Here we describe the structure of groups in which every subgroup of infinite index is abelian