Add to ORKGAbstract. In this paper we obtain a characterization of the ith Wielandt subgroup of a nite group. We then use this to nd rela-tions between the Wielandt length of a nite group and that of some of its factor groups. This in turn is used to obtain an upper bound for the Wielandt lengths of nite p-groups. 1
Let $g$ be an element of a finite group $G$. For a positive integer $n$, let $E_n(g)$ be the subgrou...
Let G be a finite primitive permutation group with a non-trivial, non-regular normal subgroup N, and...
AbstractLet α be a limit ordinal, n a positive integer and A an abelian p-group of length α + n. We ...
AbstractGiven two subgroups U,V of a finite group which are subnormal subgroups of their join 〈U,V〉 ...
The Wielandt subgroup and the Norm of a group are group theoretic concepts which have been introduce...
Given two subgroups U, V of a finite group which are subnormal subgroups of their join and a format...
The p-length of a finite p-soluble group is an important invariant parameter. The well-known Hall-Hi...
We analyze the relation between subnormality and nilpotence, the subnormal joint property, some crit...
The paper improves on an upper bound for the order of the Schur multiplier of a finite p-group given...
AbstractThe main aim of this paper is to prove the following criterion for subnormality in finite gr...
The concept of length functions on groups is first introduced by Lyndon. This is used to give direc...
We extend some results known for FC-groups to the class FC* of generalized FC-groups introduced in d...
AbstractLetGbe a polycyclic group. We prove that if the nilpotent length of each finite quotient ofG...
We define a new statistic on Weyl groups called the atomic length and investigate its combinatorial ...
We extend to soluble FC∗-groups, the class of generalized FC- groups introduced in [F. de Giovanni, ...
Let $g$ be an element of a finite group $G$. For a positive integer $n$, let $E_n(g)$ be the subgrou...
Let G be a finite primitive permutation group with a non-trivial, non-regular normal subgroup N, and...
AbstractLet α be a limit ordinal, n a positive integer and A an abelian p-group of length α + n. We ...
AbstractGiven two subgroups U,V of a finite group which are subnormal subgroups of their join 〈U,V〉 ...
The Wielandt subgroup and the Norm of a group are group theoretic concepts which have been introduce...
Given two subgroups U, V of a finite group which are subnormal subgroups of their join and a format...
The p-length of a finite p-soluble group is an important invariant parameter. The well-known Hall-Hi...
We analyze the relation between subnormality and nilpotence, the subnormal joint property, some crit...
The paper improves on an upper bound for the order of the Schur multiplier of a finite p-group given...
AbstractThe main aim of this paper is to prove the following criterion for subnormality in finite gr...
The concept of length functions on groups is first introduced by Lyndon. This is used to give direc...
We extend some results known for FC-groups to the class FC* of generalized FC-groups introduced in d...
AbstractLetGbe a polycyclic group. We prove that if the nilpotent length of each finite quotient ofG...
We define a new statistic on Weyl groups called the atomic length and investigate its combinatorial ...
We extend to soluble FC∗-groups, the class of generalized FC- groups introduced in [F. de Giovanni, ...
Let $g$ be an element of a finite group $G$. For a positive integer $n$, let $E_n(g)$ be the subgrou...
Let G be a finite primitive permutation group with a non-trivial, non-regular normal subgroup N, and...
AbstractLet α be a limit ordinal, n a positive integer and A an abelian p-group of length α + n. We ...