On a class of groups with strongly embedded subgroup.
On a generalization of groups with all subgroups subnormal
On a generalization of the Baer-Suzuki theorem.
On a group that acts freely on an Abelian group.
On a question of Deaconescu about automorphisms. - II
On a theorem of Schur.
On absolutely simple locally finite groups
On certain characterizations of barely transitive groups
On cohomological periodicity for infinite groups.
On Decomposititons of Discontinuous Groups of the Plane.
On Frobenius groups containing an element of order 3.
On groups with property
On hypercentral groups
Let G be a hypercentral group. Our main result here is that if G/G’ is divisible by finite then G itself is divisible by finite. This extends a recent result of Heng, Duan and Chen [2], who prove in a slightly weaker form the special case where G is also a p-group. If G is torsion-free, then G is actually divisible.
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 multipliers of Heineken-Mohamed type groups
On outer automorphisms of Černikov -groups
On -groups with generally finite element.
On Parabolic Subgroups and Hecke Algebras of some Fractal Groups
* The authors thank the “Swiss National Science Foundation” for its support.We study the subgroup structure, Hecke algebras, quasi-regular representations, and asymptotic properties of some fractal groups of branch type. We introduce parabolic subgroups, show that they are weakly maximal, and that the corresponding quasi-regular representations are irreducible. These (infinite-dimensional) representations are approximated by finite-dimensional quasi-regular representations. The Hecke algebras...