1 citations · 1 across the 20 of their papers we have counts for
6 papers · 1 filter
No Hilton-Milner type results for linear groups of degree two
Roghayeh Maleki, Andriaherimanana Sarobidy Razafimahatratra
A set of permutations of a finite transitive permutation group is \emph{intersecting} if any pair of elements of agree on…
Erdős-Ko-Rado results for the general linear group, the special linear group and the affine general linear group
Karen Meagher, A. Sarobidy Razafimahatratra
In this paper, we show that both the general linear group $\gl{q}$ and the special linear group $\slg{q}$ have both the EKR property and the EKR-module property. This is done using…
On non-normal subgroup perfect codes
Angelot Behajaina, Roghayeh Maleki, Andriaherimanana Sarobidy Razafimahatratra
Let be a graph. A subset is a \emph{perfect code} of if is a coclique of with the property that any vertex in is adjace…
On the intersection density of primitive groups of degree a product of two odd primes
Andriaherimanana Sarobidy Razafimahatratra
A subset of a finite transitive group is intersecting if for any there exists such that . The \…
On the second eigenvalue of a Cayley graph of the symmetric group
Roghayeh Maleki, Andriaherimanana Sarobidy Razafimahatratra
In 2020, Siemons and Zalesski [On the second eigenvalue of some Cayley graphs of the symmetric group. {\it arXiv preprint arXiv:2012.12460}, 2020] determined the second eigenvalue…
On multipartite derangement graphs
Andriaherimanana Sarobidy Razafimahatratra
Given a finite transitive permutation group , with , the derangement graph of is the Cayley graph $\operatorname{Cay}(G,\operatorn…