4 papers
A Closer Look at the Multilinear Cryptography using Nilpotent Groups
Delaram Kahrobaei, Antonio Tortora, Maria Tota
In a previous paper we generalized the definition of a multilinear map to arbitrary groups and introduced two multiparty key-exchange protocols using nilpotent groups. In this pape…
Multilinear Cryptography using Nilpotent Groups
Delaram Kahrobaei, Antonio Tortora, Maria Tota
In this paper we generalize the definition of a multilinear map to arbitrary groups and develop a novel idea of multilinear cryptosystem using nilpotent group identities.
Engel groups with an identity
Pavel Shumyatsky, Antonio Tortora, Maria Tota
We give an affrmative answer to the question whether a residually finite Engel group satisfying an identity is locally nilpotent. More generally, for a residually finite group G wi…
On varieties of groups satisfying an Engel type identity
P. Shumyatsky, A. Tortora, M. Tota
Let m, n be positive integers, v a multilinear commutator word and w = v^m. Denote by v(G) and w(G) the verbal subgroups of a group G corresponding to v and w, respectively. We pro…