Angelot Behajaina

activity

20202026

most citedOn the maximum size of ultrametric orthogonal sets over discrete valued fields

2 citations · 2 across the 16 of their papers we have counts for

collaborators

18 papers

math.NT2026

Integral Specializations of Polynomials: Hilbert Irreducibility, Coprimality, and Density

Angelot Behajaina, Pierre Dèbes, Martin Widmer

The Hilbert specialization property of a field, whereby irreducibility of polynomials is preserved under specialization of some of the variables, admits an integral counterpart whe…

math.NT2026

The Davenport-Lewis-Schinzel problem on the reducibility of $f (X) - g (Y)$

Angelot Behajaina, Joachim König, Danny Neftin

We solve the problem of Davenport--Lewis--Schinzel (DLS), originating in the 1950s, regarding the reducibility of $f (X) - g (Y) \in C [X, Y]$ . This yields an almost-complete solut…

math.NT2026

Monodromy groups of polynomials of composition length 2

Angelot Behajaina, Joachim König, Danny Neftin

We study the monodromy groups of compositions of two indecomposable polynomials. In particular, we show that such monodromy groups either fulfill a certain ``largeness" property, o…

math.CO2025

The intersection densities of transitive actions of $PSL_{2} (q)$ with cyclic point stabilizers

Angelot Behajaina, Roghayeh Maleki, Andriaherimanana Sarobidy Razafimahatratra

Given a finite transitive group $G \leq Sym Ω$ , the {intersection density} of $G$ is defined as the ratio between the size of the largest subsets of $G$ in which any t…

math.AC2025

The Combinatorial Nullstellensatz, Chevalley-Warning Theorem and weak Finitesatz in skew polynomial rings

Gil Alon, Angelot Behajaina, Elad Paran

We study zeros of polynomials in the multivariate skew polynomial ring $D [x_{1}, \dots, x_{n}; σ]$ , where $σ$ is an automorphism of a division ring $D$ . We prove a generalization of Nog…

math.NT2025

Integrally Hilbertian rings and the polynomial Schinzel hypothesis

Angelot Behajaina, Pierre Dèbes, Joachim König

The classical Hilbert specialization property is a field-theoretic tool ensuring that polynomial irreducibility over a field is preserved under specialization of some of the variab…

math.CO2024

Counting Problems for Orthogonal Sets and Sublattices in Function Fields

Noy Soffer Aranov, Angelot Behajaina

Let $K = F_{q} ((x^{- 1}))$ . Analogous to orthogonality in the Euclidean space $R^{n}$ , there exists a well-studied notion of ultrametric orthogonality in $\mat…

math.NT2024★ 2 cited

On the maximum size of ultrametric orthogonal sets over discrete valued fields

Noy Soffer Aranov, Angelot Behajaina

Let $K$ be a discrete valued field with finite residue field. In analogy with orthogonality in the Euclidean space $R^{n}$ , there is a well-studied notion of "ultr…

math.CO2024

On the stopping time of the Collatz map in $F_{2} [x]$

Gil Alon, Angelot Behajaina, Elad Paran

We study the stopping time of the Collatz map for a polynomial $f \in F_{2} [x]$ , and bound it by $O (deg (f)^{1.5})$ , improving upon the quadratic bound proven by Hicks…

math.CO2023

The Collatz map analogue in polynomial rings and in completions

Angelot Behajaina, Elad Paran

We study an analogue of the Collatz map in the polynomial ring $R [x]$ , where $R$ is an arbitrary commutative ring. We prove that if $R$ is of positive characteristic, then every po…

math.CO2023

On the intersection spectrum of $PSL_{2} (q)$

Angelot Behajaina, Roghayeh Maleki, Andriaherimanana Sarobidy Razafimahatratra

Given a group $G$ and a subgroup $H \leq G$ , a set $F \subset G$ is called $H$ \emph{-intersecting} if for any $g, g^{'} \in F$ , there exists $x H \in G / H$ such that $…

cs.IT2022

Twisted skew $G$ -codes

Angelot Behajaina, Martino Borello, Javier de la Cruz +1

In this paper we investigate left ideals as codes in twisted skew group rings. The considered rings, which are often algebras over a finite field, allows us to detect many of the w…

math.CO2022

Intersection density of imprimitive groups of degree $pq$

Angelot Behajaina, Roghayeh Maleki, Andriaherimanana Sarobidy Razafimahatratra

A subset $F$ of a finite transitive group $G \leq Sym (Ω)$ is \emph{intersecting} if any two elements of $F$ agree on an element of $Ω$ . The \emph{…

math.CO2022

On integral mixed Cayley graphs over non-abelian finite groups admitting an abelian subgroup of index 2

Angelot Behajaina, François Legrand

Recently, several works by a number of authors have provided characterizations of integral undirected Cayley graphs over generalized dihedral groups and generalized dicyclic groups…

math.CO2022

On Cayley graphs over generalized dicyclic groups

Angelot Behajaina, François Legrand

Recently, several works by a number of authors have studied integrality, distance integrality, and distance powers of Cayley graphs over some finite groups, such as dicyclic groups…

math.CO2022

On the intersection density of the symmetric group acting on uniform subsets of small size

Angelot Behajaina, Roghayeh Maleki, Andriaherimanana Sarobidy Razafimahatratra

Given a finite transitive group $G \leq Sym (Ω)$ , a subset $F$ of $G$ is \emph{intersecting} if any two elements of $F$ agree on some element of $Ω…

math.CO2021

On non-normal subgroup perfect codes

Angelot Behajaina, Roghayeh Maleki, Andriaherimanana Sarobidy Razafimahatratra

Let $X = (V, E)$ be a graph. A subset $C \subseteq V (X)$ is a \emph{perfect code} of $X$ if $C$ is a coclique of $X$ with the property that any vertex in $V (X) ∖ C$ is adjace…

math.CO2020

$3$ -setwise intersecting families of the symmetric group

Angelot Behajaina, Roghayeh Maleki, Aina Toky Rasoamanana +1

Given two positive integers $n \geq 3$ and $t \leq n$ , the permutations $σ, π \in Sym (n)$ are $t$ -setwise intersecting if they agree (setwise) on a $t$ -subset of $\{1,2,…

Integral Specializations of Polynomials: Hilbert Irreducibility, Coprimality, and Density

The Davenport-Lewis-Schinzel problem on the reducibility of f(X)−g(Y)

Monodromy groups of polynomials of composition length 2

The intersection densities of transitive actions of PSL2​(q) with cyclic point stabilizers

The Combinatorial Nullstellensatz, Chevalley-Warning Theorem and weak Finitesatz in skew polynomial rings

Integrally Hilbertian rings and the polynomial Schinzel hypothesis

Counting Problems for Orthogonal Sets and Sublattices in Function Fields

On the maximum size of ultrametric orthogonal sets over discrete valued fields

On the stopping time of the Collatz map in F2​[x]

The Collatz map analogue in polynomial rings and in completions

On the intersection spectrum of PSL2​(q)

Twisted skew G-codes

Intersection density of imprimitive groups of degree pq

On integral mixed Cayley graphs over non-abelian finite groups admitting an abelian subgroup of index 2

On Cayley graphs over generalized dicyclic groups

On the intersection density of the symmetric group acting on uniform subsets of small size

On non-normal subgroup perfect codes

3-setwise intersecting families of the symmetric group

The Davenport-Lewis-Schinzel problem on the reducibility of $f (X) - g (Y)$

The intersection densities of transitive actions of $PSL_{2} (q)$ with cyclic point stabilizers

On the stopping time of the Collatz map in $F_{2} [x]$

On the intersection spectrum of $PSL_{2} (q)$

Twisted skew $G$ -codes

Intersection density of imprimitive groups of degree $pq$

$3$ -setwise intersecting families of the symmetric group