On subnormal series with factors of finite rank : the join problem
On the derived length of parasoluble groups
In this paper groups are considered inducing groups of power automorphisms on each factor of their derived series. In particular, it is proved that soluble groups with such property have derived length at most 3, and that this bound is best possible.
On the Fitting length of
On the inverse limit of free nilpotent groups.
On the power-commutative kernel of locally nilpotent groups.
One-Relator Groups and the Lower Central Series. II. Invariants of One-Relator Groups.
Periodic-by-nilpotent linear groups
Prodotti di sottogruppi mutuamente permutabili
Pronormality, contranormality and generalized nilpotency in infinite groups.
This article is dedicated to some criteria of generalized nilpotency involving pronormality and abnormality. Also new results on groups, in which abnormality is a transitive relation, have been obtained.
Rank analogues of Hall's and Baer's theorems.
Schur multipliers of p-groups.
Seminilpotent groups
Some remarks on groups in which elements with the same -power commute
In this paper we characterize certain classes of groups in which, from (, a fixed prime), it follows that . Our results extend results previously obtained by other authors, in the finite case.
Stability groups and central series.
Subgroups with projective abelianization and trivial multiplicator.
Subnormale Einbettung von Paaren von Gruppen.
Sur le problème d'isomorphisme et la suite de dimension
The abelianization of hypercyclic groups
Let G be a hypercyclic group. The most substantial results of this paper are the following. a) If G/G′ is 2-divisible, then G is 2-divisible. b) If G/G′ is a 2′-group, then G is a 2′-group. c) If G/G′ is divisible by finite-of-odd-order, then G/V is divisible by finite-of-odd-order, where V is the intersection of the lower central series (continued transfinitely) of O 2′ (G).
The Derived Series of a Join of Subnormal Sugroups.
The endocenter and its applications to quasigroup representation theory
A construction is given, in a variety of groups, of a ``functorial center'' called the endocenter. The endocenter facilitates the identification of universal multiplication groups of groups in the variety, addressing the problem of determining when combinatorial multiplication groups are universal.