On infinite Nielsen transformations.
On irreducible, infinite, nonaffine Coxeter groups
The following results are proved: The center of any finite index subgroup of an irreducible, infinite, nonaffine Coxeter group is trivial; Any finite index subgroup of an irreducible, infinite, nonaffine Coxeter group cannot be expressed as a product of two nontrivial subgroups. These two theorems imply a unique decomposition theorem for a class of Coxeter groups. We also prove that the orbit of each element other than the identity under the conjugation action in an irreducible, infinite, nonaffine...
On Isoclinic Groups.
On J.H.C. Whitehead's aspherical question I.
On K2 (...) and presentations of SLn (...) in the real quadratic case.
On Levi quasivarieties generated by nilpotent groups.
On lexico extensions of lattice ordered groups
On linearly ordered subgroups of a lattice ordered group
On Locallay Indicable 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 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 locally graded barely transitive groups
We show that a barely transitive group is totally imprimitive if and only if it is locally graded. Moreover, we obtain the description of a barely transitive group G for the case G has a cyclic subgroup 〈x〉 which intersects non-trivially with all subgroups and for the case a point stabilizer H of G has a subgroup H 1 of finite index in H satisfying the identity χ(H 1) = 1, where χ is a multi-linear commutator of weight w.
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 Mennicke groups of deficiency zero. I.
On metabelian groups with derived quotient an elementary Abelian 2-group of rank 3.
On minimal Artinian modules and minimal Artinian linear groups.
On minimal conditions related to Miller-Moreno type groups
On minimal models in integral homotopy theory.
On minimal non CC-groups.
In this work it is shown that a locally graded minimal non CC-group G has an epimorphic image which is a minimal non FC-group and there is no element in G whose centralizer is nilpotent-by-Chernikov. Furthermore Theorem 3 shows that in a locally nilpotent p-group which is a minimal non FC-group, the hypercentral and hypocentral lengths of proper subgroups are bounded.
On minimal non-PC-groups
A group is said to be a PC-group, if is a polycyclic-by-finite group for all . A minimal non-PC-group is a group which is not a PC-group but all of whose proper subgroups are PC-groups. Our main result is that a minimal non-PC-group having a non-trivial finite factor group is a finite cyclic extension of a divisible abelian group of finite rank.