6 papers · 1 filter
Left -Engel elements in groups: A survey
Anastasia Hadjievangelou, Patrizia Longobardi, Mercede Maj +3
We survey left 3-Engel elements in groups.
On conjygacy classes in groups
Marcel Herzog, Patrizia Longobardi, Mercede Maj
Let be a group. Write . An element of will be called deficient if and it will be called non-deficient if $\lang…
On groups in which every element has a prime power order and which satisfy some boundedness condition
Marcel Herzog, Patrizia Longobardi, Mercede Maj
In this paper we shall deal with periodic groups, in which each element has a prime power order. A group will be called a -group if each element of has a prime power o…
On the structure of some locally nilpotent groups without contranormal subgroups
Leonid A. Kurdachenko, Patrizia Longobardi, Mercede MAJ
Following J.S. Rose, a subgroup H of a group G is said contranormal in G if G = H^G . In a certain sense, contranormal subgroups are antipodes to subnormal subgroups. It is well kn…
Sums of element orders in groups of odd order
Marcel Herzog, Patrizia Longobardi, Mercede Maj
Denote by a finite group and by the sum of element orders in . If is a positive integer, denote by the cyclic group of order and write . In…
The second maximal groups with respect to the sum of element orders
Marcel Herzog, Patrizia Longobardi, Mercede Maj
Denote by a finite group and let denote the sum of element orders in . In 2009, H.Amiri, S.M.Jafarian Amiri and I.M.Isaacs proved that if and is non-cycli…