On a connection between nilpotent groups and Lie rings.
On a theorem of Schur.
On absolutely-nilpotent of class groups
A group in a variety is said to be absolutely-, and we write , if central extensions by are again in . Absolutely-abelian groups have been classified by F. R. Beyl. In this paper we concentrate upon the class of absolutely-nilpotent of class groups. We prove some closure properties of the class and we show that every nilpotent of class group can be embedded in an -gvoup. We describe all metacyclic -groups and we characterize -generator and infinite -generator -groups. Finally...
On algebraic Anosov diffeomorphisms on nilmanifolds.
On almost finitely generated nilpotent groups.
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 complete nilpotent groups.
On constructive nilpotent groups.
On decomposable pseudofree groups.
On dimensions in Bredon homology.
On finite abelian groups realizable as Mislin genera.
We study the realizability of finite abelian groups as Mislin genera of finitely generated nilpotent groups with finite commutator subgroup. In particular, we give criteria to decide whether a finite abelian group is realizable as the Mislin genus of a direct product of nilpotent groups of a certain specified type. In the case of a positive answer, we also give an effective way of realizing that abelian group as a genus. Further, we obtain some non-realizability results.
On genus and embeddings of torsion-free nilpotent groups of class two.
On groups of automorphisms of nilpotent -groups of finite rank
On induced morphism of Mislin genera.
Let N be a nilpotent group with torsion subgroup TN, and let α: TN → T' be a surjective homomorphism such that kerα is normal in N. Then α determines a nilpotent group Ñ such that TÑ = T' and a function α* from the Mislin genus of N to that of Ñ in N (and hence Ñ) is finitely generated. The association α → α* satisfies the usual functiorial conditions. Moreover [N,N] is finite if and only if [Ñ,Ñ] is finite and α* is then a homomorphism of abelian groups. If Ñ belongs to the special class studied...
On Levi quasivarieties generated by nilpotent groups.
On locally finite groups and the centralizers of automorphisms
Sia un primo, e un gruppo abeliano elementare di ordine che agisce sul -gruppo localmente finito . Supponiamo che esista un intero positivo tale che per ogni . In questo articolo si dimostra che è nilpotente, con classe di nilpotenza limitata da una funzione che dipende solo da e .
On maximal subgroups of minimax groups
It is proved that a soluble residually finite minimax group is finite-by-nilpotent if and only if it has only finitely many maximal subgroups which are not normal.
On minimal models in integral homotopy theory.
On normal verbal embeddings of some classes of groups.
On semiabelian groups.