Zobrazeno 1 - 10
of 122
pro vyhledávání: '"Montinaro, Alessandro"'
In this article, we investigate symmetric designs admitting a flag-transitive and point-primitive affine automorphism group. We prove that if an automorphism group $G$ of a symmetric $(v,k,\lambda)$ design with $\lambda$ prime is point-primitive of a
Externí odkaz:
http://arxiv.org/abs/2409.04790
The classification of the $2$-designs with $\lambda=2$ admitting a flag-transitive automorphism groups with socle $PSL(2,q)$ is completed by settling the two open cases in \cite{ABDT}. The result is achieved by using conics and hyperovals of $PG(2,q)
Externí odkaz:
http://arxiv.org/abs/2404.19190
Autor:
Francot, Eliana, Montinaro, Alessandro
In this paper, we provide a complete classification of the $2$-$(v,3,\lambda )$ designs with $v\equiv 1,3\pmod{6}$ and $% v \equiv 6 \pmod{\lambda}$ admitting a flag-transitive automorphism group non-isomorphic to a subgroup of $A\Gamma L_{1}(v)$.
Externí odkaz:
http://arxiv.org/abs/2404.02488
Autor:
Liang, Hongxue, Montinaro, Alessandro
In this paper, we provide a complete classification of $2$-$(v,k,2)$ design admitting a flag-transitive automorphism group of affine type with the only exception of the semilinear $1$-dimensional group. Alongside this analysis we provide a constructi
Externí odkaz:
http://arxiv.org/abs/2404.02311
In this paper we study the BM quasi-Hermitian varieties introduced in [A. Aguglia, A. Cossidente, G. Korchm\`aros, On quasi-Hermitian Varieties, J. Combin. Des. 20 (2012) 433-447.] in characteristc $2$ and dimension $3$. After a brief investigation o
Externí odkaz:
http://arxiv.org/abs/2310.02936
Autor:
Montinaro, Alessandro
The symmetric $2$-$(v,k,\lambda )$ designs, with $k>\lambda \left(\lambda-3 \right)/2$, admitting a flag-transitive, point-imprimitive automorphism group are completely classified: they are the known $2$-designs with parameters $(16,6,2),(45,12,3),(1
Externí odkaz:
http://arxiv.org/abs/2212.08893
Autor:
Montinaro, Alessandro
The pairs $(\mathcal{D},G)$, where $\mathcal{D}$ is a non-trivial $2$-$(k^{2},k,\lambda )$ design, with $\lambda \mid k$, and $G$ is a flag-transitive automorphism group of $\mathcal{D}$ of affine type such that $G \nleq A \Gamma L_{1}(k^{2})$, are c
Externí odkaz:
http://arxiv.org/abs/2206.06953
Autor:
Alavi, Seyed Hassan, Bayat, Mohsen, Biliotti, Mauro, Daneshkhah, Ashraf, Francot, Eliana, Guan, Haiyan, Montinaro, Alessandro, Mouseli, Fatemeh, Rizzo, Pierluigi, Tian, Delu, Wang, Yajie, Zhan, Xiaoqin, Zhang, Yongli, Zhou, Shenglin, Zhu, Yan
In this paper, we present a classification of $2$-designs with $\gcd(r,\lambda)=1$ admitting flag-transitive automorphism groups. If $G$ is a flag-transitive automorphism group of a non-trivial $2$-design $\mathcal{D}$ with $\gcd(r,\lambda)=1$, then
Externí odkaz:
http://arxiv.org/abs/2204.02439
Autor:
Montinaro, Alessandro
Non-trivial $2$-$(k^{2},k,\lambda )$ designs, with $\lambda \mid k$, admitting a flag-transitive almost simple automorphism group are classified.
Externí odkaz:
http://arxiv.org/abs/2203.09267
Autor:
Montinaro, Alessandro
Let $\mathcal{D}=\left(\mathcal{P},\mathcal{B} \right)$ be a symmetric $2$-$(v,k,\lambda )$ design admitting a flag-transitive, point-imprimitive automorphism group $G$ that leaves invariant a non-trivial partition $\Sigma$ of $\mathcal{P}$. Praeger
Externí odkaz:
http://arxiv.org/abs/2203.09261