A. Daneshkhah

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20112022

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12 papers · 1 filter

math.GR2022

Block designs with $g cd (r, λ) = 1$ admitting flag-transitive automorphism groups

Seyed Hassan Alavi, Mohsen Bayat, Mauro Biliotti +12

In this paper, we present a classification of $2$ -designs with $g cd (r, λ) = 1$ admitting flag-transitive automorphism groups. If $G$ is a flag-transitive automorphism group of a non-…

math.GR2020

Symmetries of biplanes

Seyed Hassan Alavi, Ashraf Daneshkhah, Cheryl E Praeger

In this paper, we first study biplanes $D$ with parameters $(v, k, 2)$ , where the block size $k \in {13, 16}$ . These are the smallest parameter values for which a classifica…

math.GR2020

Almost simple groups of Lie type and symmetric designs with $λ$ prime

Seyed Hassan Alavi, Mohsen Bayat, Ashraf Daneshkhah

In this article, we investigate symmetric $(v, k, λ)$ designs $D$ with $λ$ prime admitting flag-transitive and point-primitive automorphism groups $G$ . We prove that if $G$ …

math.GR2019

Symmetric designs and projective special unitary groups of dimension at most five

Ashraf Daneshkhah

In this article, we study symmetric $(v, k, λ)$ designs admitting a flag-transitive and point-primitive automorphism group $G$ whose socle is a projective special unitary group of…

math.GR2019

A classification of flag-transitive block designs

Seyed Hassan Alavi, Ashraf Daneshkhah, Fatemeh Mouseli

In this article, we investigate $2$ - $(v, k, λ)$ designs with $g cd (r, λ) = 1$ admitting flag-transitive automorphism groups $G$ . We prove that if $G$ is an almost simple group, then suc…

math.GR2019

Flag-transitive block designs and unitary groups

Seyed Hassan Alavi, Mohsen Bayat, Ashraf Daneshkhah

In this article, we study $2$ -designs with $g cd (r, λ) = 1$ admitting a flag-transitive automorphism group. The automorphism groups of these designs are point-primitive of almost sim…

Block designs with gcd(r,λ)=1 admitting flag-transitive automorphism groups

Symmetries of biplanes

Almost simple groups of Lie type and symmetric designs with λ prime

Symmetric designs and projective special unitary groups of dimension at most five

A classification of flag-transitive block designs

Flag-transitive block designs and unitary groups

Block designs with $g cd (r, λ) = 1$ admitting flag-transitive automorphism groups

Almost simple groups of Lie type and symmetric designs with $λ$ prime