Locally nilpotent linear groups with the weak chain conditions on subgroups of infinite central dimension .
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...
Lokale Subnormalteiler und ihr nilpotentes Residuum.
Metanilpotent Groups Satisfying the Minimal Condition for Normal Subgroups.
Mixed product decompositions of a directed group
Modularità e distributività nell'insieme dei sottogruppi subnormali
Modularità nei gruppi non-periodici
In questo lavoro sono contenuti alcuni risultati riguardanti la struttura dei gruppi non-periodici in cui sottogruppi verificano opportune condizioni di modularità.
Nearly normal projectivities
Nets associated with the elementary nets.
Nielsen Equivalence of Presentations of Some Solvable Groups.
Nilpotent Elements in Group Rings.
Nilpotent Residuals of Subnormal Subgroups.
On a generalization of groups with all subgroups subnormal
On a property of groups with coverings.
On almost normal subgroups of supersoluble groups
Un sottogruppo di un gruppo si dice «almost normal» se ha soltanto un numero finito di coniugati in , e ovviamente l'insieme costituito dai sottogruppi almost normal di è un sottoreticolo del reticolo di tutti i sottogruppi di . In questo articolo vengono studiati gli isomorfismi tra reticoli di sottogruppi almost normal, provando in particolare che se è un gruppo supersolubile e è un gruppo FC-risolubile tale che i reticoli e sono isomorfi, allora anche è supersolubile, e...
On automorphisms fixing subnormal subgroups of soluble groups
The group of all automorphisms leaving invariant every subnormal subgroup of the group is studied. In particular it is proved that is metabelian if is soluble, and that is either finite or abelian if is polycyclic.
On centrally nilpotent loops
Using a lemma on subnormal subgroups, the problem of nilpotency of multiplication groups and inner permutation groups of centrally nilpotent loops is discussed.
On congruence permutable -sets
An algebraic structure is said to be congruence permutable if its arbitrary congruences and satisfy the equation , where denotes the usual composition of binary relations. To an arbitrary -set satisfying , we assign a semigroup on the base set containing a zero element , and examine the connection between the congruence permutability of the -set and the semigroup .
On disjoint covering of groups by their cosets
On Dye's condition in nilpotent groups of class 2