11 citations · 29 across the 6 of their papers we have counts for
7 papers
The derangements subgroup in a finite permutation group and the Frobenius--Wielandt Theorem
R. A. Bailey, P. J. Cameron, N. Gavioli +1
It is known that if the derangements subgroup of a transitive non-regular permutation group is a proper subgroup, then it is a Frobenius--Wielandt kernel, and, conversely, minimal…
Unrefinable partitions into distinct parts in a normalizer chain
Riccardo Aragona, Roberto Civino, Norberto Gavioli +1
In a recent paper on a study of the Sylow 2-subgroups of the symmetric group with 2^n elements it has been show that the growth of the first (n-2) consecutive indices of a certain…
Rigid commutators and a normalizer chain
Riccardo Aragona, Roberto Civino, Norberto Gavioli +1
The novel notion of rigid commutators is introduced to determine the sequence of the logarithms of the indices of a certain normalizer chain in the Sylow 2-subgroup of the symmetri…
A Chain of Normalizers in the Sylow -subgroups of the symmetric group on letters
Riccardo Aragona, Roberto Civino, Norberto Gavioli +1
On the basis of an initial interest in symmetric cryptography, in the present work we study a chain of subgroups. Starting from a Sylow -subgroup of AGL(2,n), each term of the c…
Regular subgroups with large intersection
Riccardo Aragona, Roberto Civino, Norberto Gavioli +1
In this paper we study the relationships between the elementary abelian regular subgroups and the Sylow -subgroups of their normalisers in the symmetric group $\mathrm{Sym}(\mat…
Beauville -groups of wild type and groups of maximal class
Gustavo A. Fernández-Alcober, Norberto Gavioli, Şükran Gül +1
Let be a Beauville finite -group. If exhibits a `good behaviour' with respect to taking powers, then every lift of a Beauville structure of is a Beauville struc…
Finite morphic -groups
A. Caranti, C. M. Scoppola
According to Li, Nicholson and Zan, a group is said to be morphic if, for every pair of normal subgroups, each of the conditions and $G/N_{…