Cyclic homology of groups and the Bass conjecture.
Elementary Abelian operator groups.
Endomorphism of Polycyclic Groups.
Equivalence élémentaire entre groupes finis-par-abéliens de type fini.
Estructura de Sylow de ciertos grupos localmente finitos.
Finite groups with a unique nonlinear nonfaithful irreducible character
In this paper, we consider finite groups with precisely one nonlinear nonfaithful irreducible character. We show that the groups of order 16 with nilpotency class 3 are the only -groups with this property. Moreover we completely characterize the nilpotent groups with this property. Also we show that if is a group with a nontrivial center which possesses precisely one nonlinear nonfaithful irreducible character then is solvable.
Finitely generated soluble groups with an Engel condition on infinite subsets
Finitely generated soluble groups with an Engel condition on infinite subsets
First-order definability and algebraicity of the sets of annihilating and generating collections of elements for some relatively free solvable groups.
Følner sequences in polycyclic groups.
The isoperimetric inequality |∂Ω| / |Ω| = constant / log |Ω| for finite subsets Ω in a finitely generated group Γ with exponential growth is optimal if Γ is polycyclic.
Global rigidity of solvable group actions on .
Group Rings with Units Torsion Over the Center.
Groups which are isomorphic to their nonabelian subgroups
Groups with dense subnormal subgroups
Groups with finite conjugacy classes of subnormal subgroups
Groups with finitely many conjugacy classes of non-normal subgroups of infinite rank
It is proved that if a locally soluble group of infinite rank has only finitely many non-trivial conjugacy classes of subgroups of infinite rank, then all its subgroups are normal.
Groups with small deviation for non-subnormal subgroups
We introduce the notion of the non-subnormal deviation of a group G. If the deviation is 0 then G satisfies the minimal condition for nonsubnormal subgroups, while if the deviation is at most 1 then G satisfies the so-called weak minimal condition for such subgroups (though the converse does not hold). Here we present some results on groups G that are either soluble or locally nilpotent and that have deviation at most 1. For example, a torsion-free locally nilpotent with deviation at most 1 is nilpotent,...
Groups with soluble factor groups and projectivities
Groups with subnormal subgroups of bounded defect
Improving tameness for metabelian groups.