Just-non-SRI*-groups
Kurosh-Amitsur radical theory for groups.
Locally soluble-by-finite groups with small deviation for non-subnormal subgroups
A group has subnormal deviation at most if, for every descending chain of non-subnormal subgroups of , for all but finitely many there is no infinite descending chain of non-subnormal subgroups of that contain and are contained in . This property , say, was investigated in a previous paper by the authors, where soluble groups with and locally nilpotent groups with were effectively classified. The present article affirms a conjecture from that article by showing that locally soluble-by-finite...
Lower central series, augmentation quotients and homology of groups.
Multiplication groups of quasigroups and loops III.
Nilpotent groups of class two that can appear as central quotient groups
Noncommutative knot theory.
Non-nilpotent subgroups of locally graded groups
We show that a locally graded group with a finite number m of non-(nilpotent of class at most n) subgroups is (soluble of class at most [log₂n] + m + 3)-by-(finite of order ≤ m!). We also show that the derived length of a soluble group with a finite number m of non-(nilpotent of class at most n) subgroups is at most [log₂ n] + m + 1.
Normalteiler ganzzahliger Spingruppen.
On a generalization of groups with all subgroups subnormal
On embedding properties of -groups.
On exact power margin groups
On Gupta Representations of Central Extensions.
On homomorphic images of locally graded groups
On locally finite minimal non-solvable groups
In the present work we consider infinite locally finite minimal non-solvable groups, and give certain characterizations. We also define generalizations of the centralizer to establish a result relevant to infinite locally finite minimal non-solvable groups.
On minimal conditions related to Miller-Moreno type groups
On multipliers of Heineken-Mohamed type groups
On non-periodic groups whose finitely generated subgroups are either permutable or pronormal
The current article considers some infinite groups whose finitely generated subgroups are either permutable or pronormal. A group is called a generalized radical, if has an ascending series whose factors are locally nilpotent or locally finite. The class of locally generalized radical groups is quite wide. For instance, it includes all locally finite, locally soluble, and almost locally soluble groups. The main result of this paper is the followingTheorem. Let be a locally generalized radical...
On Partial Ordering of Chief Factors in Solvable Groups.
On some properties of pronormal subgroups
New results on tight connections among pronormal, abnormal and contranormal subgroups of a group have been established. In particular, new characteristics of pronormal and abnormal subgroups have been obtained.