8 citations · 13 across the 10 of their papers we have counts for
12 papers
Limit Groups and Automorphisms of -Existentially Closed Groups
Burak Kaya, Mahmut Kuzucuoğlu, Patrizia Longobardi +1
The structure of automorphism groups of -existentially closed groups are studied by Kaya-Kuzucuoğlu in 2022. It was proved that Aut(G) is the union of subgroups of level preserv…
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…
Another criterion for solvability of finite groups
M. Herzog, P. Longobardi, M. Maj
Let G be a finite group. Denote by ψ(G) the sum ψ(G)=\sum_{x\in G}|x| where |x| denotes the order of the element x, and by o(G) the quotient o(G)=\frac{ψ(G)}{|G|}. Confirming a con…
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…