On transitivity of pronormality
This article is dedicated to soluble groups, in which pronormality is a transitive relation. Complete description of such groups is obtained.
On universal theories of metabelian groups and the Shmel'kin embedding.
Polycyclic groups, Lie algebras and algebraic groups.
Positively finitely generated groups.
Primary graded groups with systems of complemented subgroups.
Prodotti di sottogruppi mutuamente permutabili
Pronormal and subnormal subgroups and permutability
We describe the finite groups satisfying one of the following conditions: all maximal subgroups permute with all subnormal subgroups, (2) all maximal subgroups and all Sylow -subgroups for permute with all subnormal subgroups.
Random walks on finite rank solvable groups
We establish the lower bound , for the large times asymptotic behaviours of the probabilities of return to the origin at even times , for random walks associated with finite symmetric generating sets of solvable groups of finite Prüfer rank. (A group has finite Prüfer rank if there is an integer , such that any of its finitely generated subgroup admits a generating set of cardinality less or equal to .)
Relative commutator associated with varieties of -nilpotent and of -solvable groups
In this note we determine explicit formulas for the relative commutator of groups with respect to the subvarieties of -nilpotent groups and of -solvable groups. In particular these formulas give a characterization of the extensions of groups that are central relatively to these subvarieties.
Soluble Groups with Many Černikov Quotients
Si studiano i gruppi risolubili non di Černikov a quozienti propri di Černikov. Nel caso periodico tali gruppi sono tutti e soli i prodotti semidiretti con -gruppo abeliano elementare infinito e gruppo irriducibile di automorfismi di che sia infinito e di Černikov. Nel caso non periodico invece si riconduce tale studio a quello dei moduli a quozienti...
Soluble Groups with the Minimum Condition for Normal Subgroups.
Soluble products of nilpotent groups
Solvable Groups that are Simply Connected at ... .
Solvable groups with many BFC-subgroups.
We characterize the solvable groups without infinite properly ascending chains of non-BFC subgroups and prove that a non-BFC group with a descending chain whose factors are finite or abelian is a Cernikov group or has an infinite properly descending chain of non-BFC subgroups.
Solvable infinite-dimensional linear groups with restrictions on the nonabelian subgroups of infinite rank.
Some group theoretic problems inspired by ring theoretic analogies.
Some Recognizable Properties of Solvable Groups.
Some results on -solvable and supersolvable groups.
Subgroups of finite index in generalized -groups
Test elements and test rank of a free metabelian group.