Add to ORKGIn this note, we consider some combinatorial conditions on infi-nite subsets of groups and we obtain in terms of these conditions some characterizations of the classes L(Nk)F and FL(Nk) for the finitely generated centre-by-metabelian groups, where L(Nk) (respectively, F) denotes the class of groups in which the normal closure of each element is nilpotent of class at most k (respectively, finite groups). 1. Introduction an
A well-known theorem of B. H. Neumann states that a group has finite conjugacy classes of subgroups ...
AbstractWe explore the class B of generalized nilpotent groups in the universe c[formula] of all rad...
AbstractIf a finite group G is the product of two nilpotent subgroups A and B and if N is a minimal ...
In this note, we consider some combinatorial conditions on infinite subsets of groups and we obtain ...
AbstractThe possibilities for the topology induced on the centre by the profinite topology of nilpot...
A well-known theorem of Philip Hall states that if a group G has a nilpotent normal subgroup N such ...
AbstractLet C be a class of groups, closed under taking subgroups and quotients. We prove that if al...
In this paper, G denotes a non-abelian metabelian group and cl(x) denotes conjugacy class of the ele...
If k is a positive integer, a group G is said to have the $FE_{k}$-property if for each element g o...
AbstractIn [V.V. Bludov, A.M.W. Glass, A.H. Rhemtulla, Ordered groups in which all convex jumps are ...
We consider the following two finiteness conditions on normalizers and centralizers in a group G: (i...
If a finite group G is the product of two nilpotent subgroups A and B and if N is a minimal normal s...
In this work, a non-abelian metabelian group is represented by G while represents conjugacy class gr...
In this paper, G denotes a non-abelian metabelian group and cl(x) denotes conjugacy class of the ele...
Let P be a group theoretical property. There are many results in literature concerning groups in whi...
A well-known theorem of B. H. Neumann states that a group has finite conjugacy classes of subgroups ...
AbstractWe explore the class B of generalized nilpotent groups in the universe c[formula] of all rad...
AbstractIf a finite group G is the product of two nilpotent subgroups A and B and if N is a minimal ...
In this note, we consider some combinatorial conditions on infinite subsets of groups and we obtain ...
AbstractThe possibilities for the topology induced on the centre by the profinite topology of nilpot...
A well-known theorem of Philip Hall states that if a group G has a nilpotent normal subgroup N such ...
AbstractLet C be a class of groups, closed under taking subgroups and quotients. We prove that if al...
In this paper, G denotes a non-abelian metabelian group and cl(x) denotes conjugacy class of the ele...
If k is a positive integer, a group G is said to have the $FE_{k}$-property if for each element g o...
AbstractIn [V.V. Bludov, A.M.W. Glass, A.H. Rhemtulla, Ordered groups in which all convex jumps are ...
We consider the following two finiteness conditions on normalizers and centralizers in a group G: (i...
If a finite group G is the product of two nilpotent subgroups A and B and if N is a minimal normal s...
In this work, a non-abelian metabelian group is represented by G while represents conjugacy class gr...
In this paper, G denotes a non-abelian metabelian group and cl(x) denotes conjugacy class of the ele...
Let P be a group theoretical property. There are many results in literature concerning groups in whi...
A well-known theorem of B. H. Neumann states that a group has finite conjugacy classes of subgroups ...
AbstractWe explore the class B of generalized nilpotent groups in the universe c[formula] of all rad...
AbstractIf a finite group G is the product of two nilpotent subgroups A and B and if N is a minimal ...