In this survey paper the authors specify all the known findings related to the norms of the
group and their generalizations. Special attention is paid to the analysis of their own study of …

In this survey paper the authors specify all the known findings related to the norms of a~
group and their generalizations (since 2016 in more details). Special attention is paid to the …

A group $ G $ is called metahamiltonian if all its non-abelian subgroups are normal‎.‎ The aim
of this paper is to provide an updated survey of research concerning certain classes of …

The norm of a group was introduced by R. Baer as the intersection of all normalizers of
subgroups, and it was later proved that the norm is always contained in the second term of …

A group G is called metahamiltonian if all its non-abelian subgroups are normal. The aim of
this paper is to investigate the structure of uncountable groups of cardinality ℵ in which all …

Groups with the weak minimal condition on non-normal non-abelian subgroups | SpringerLink
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If X is a class of groups, we define a sequence X1, X2,..., Xk,... of group classes by putting
X1= X and choosing Xk+ 1 as the class of all groups whose nonnormal subgroups belong to …

It is known that any locally graded group with finitely many derived subgroups of non-normal
subgroups is finite-by-abelian. This result is generalized here, by proving that in a locally …

It is well-known that every virtually abelian group contains an abelian characteristic
subgroup of finite index. We shall say that a group class XX is F-characteristic if any group …

The quasicenter Q (G) of a group G is the subgroup generated by the elements x of G such
that the subgroup (x) is permutable in G. For the infinite groups the knowledge of Q (G) has …