Results 1 to 10 of about 28 (28)

Symmetric graphs of valency seven and their basic normal quotient graphs

Open Mathematics, 2021
We characterize seven valent symmetric graphs of order 2pqn2p{q}^{n} with ...
Pan Jiangmin, Huang Junjie, Wang Chao
doaj   +1 more source

Base sizes of primitive groups of diagonal type

Forum of Mathematics, Sigma, 2023
Let G be a permutation group on a finite set $\Omega $ . The base size of G is the minimal size of a subset of $\Omega $ with trivial pointwise stabiliser in G. In this paper, we extend earlier work of Fawcett by determining the precise base
Hong Yi Huang
doaj   +1 more source

On finite dual Cayley graphs

Open Mathematics, 2020
A Cayley graph Γ\Gamma on a group G is called a dual Cayley graph on G if the left regular representation of G is a subgroup of the automorphism group of Γ\Gamma (note that the right regular representation of G is always an automorphism group of Γ ...
Pan Jiangmin
doaj   +1 more source

The edge-regular complete maps

Open Mathematics, 2020
A map is called edge-regular if it is edge-transitive but not arc-transitive. In this paper, we show that a complete graph Kn{K}_{n} has an orientable edge-regular embedding if and only if n=pd>3n={p}^{d}\gt 3 with p an odd prime such that pd≡3{p}^{d ...
Yu Xue, Lou Ben Gong
doaj   +1 more source

2-closures of primitive permutation groups of holomorph type

Open Mathematics, 2019
The 2-closure G(2) of a permutation group G on a finite set Ω is the largest subgroup of Sym(Ω) which has the same orbits as G in the induced action on Ω × Ω.
Yu Xue, Pan Jiangmin
doaj   +1 more source

On derangements in simple permutation groups

Forum of Mathematics, Sigma
Let $G \leqslant \mathrm {Sym}(\Omega )$ be a finite transitive permutation group and recall that an element in G is a derangement if it has no fixed points on $\Omega $ . Let $\Delta (G)$ be the set of derangements in G and define
Timothy Burness, Marco Fusari
doaj   +1 more source

A single source theorem for primitive points on curves

Forum of Mathematics, Sigma
Let C be a curve defined over a number field K and write g for the genus of C and J for the Jacobian of C. Let $n \ge 2$ . We say that an algebraic point $P \in C(\overline {K})$ has degree n if the extension $K(P)/K$ has degree n. By
Maleeha Khawaja, Samir Siksek
doaj   +1 more source

Weakly-exceptional quotient singularities

Open Mathematics, 2012
Sakovics Dmitrijs
doaj   +1 more source

On Integers that are Covering Numbers of Groups

Experimental Mathematics, 2022
Martino Garonzi, Luise-Charlotte Kappe, Eric Swartz   +2 more
exaly  

On primitive permutation groups whose stabilizer of a point induces $L_{2}(q)$ on a suborbit

Illinois Journal of Mathematics, 1976
Ulrich Dempwolff
exaly