Results 1 to 10 of about 43 (43)

Base sizes of primitive groups of diagonal type

open access: yesForum 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

Symmetric graphs of valency seven and their basic normal quotient graphs

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

The edge-regular complete maps

open access: yesOpen 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

On finite dual Cayley graphs

open access: yesOpen 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

2-closures of primitive permutation groups of holomorph type

open access: yesOpen 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

open access: yesForum 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

Transcriptional regulation in cowpea bruchid guts during adaptation to a plant defense protease inhibitor and screening of mutants that are altered in jasmonate-regulated signal transduction pathways using Arabidopsis thaliana [PDF]

open access: yes, 2009
To study the interaction between plants and insects I performed the experiments to find out the counter-defense mechanism of insects when insects were attacked by the defense protein of plants.
Moon, Jaewoong
core  

A single source theorem for primitive points on curves

open access: yesForum 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

Separating subsets from their images

open access: yesForum of Mathematics, Sigma
Let G be a transitive permutation group acting on Ω $\Omega $ normal upper Omega . In this paper, we introduce and study the parameter sep(G) $\mathrm {sep}(G)$ sep left parenthesis upper G right parenthesis , which denotes the size of the ...
Marco Barbieri   +3 more
doaj   +1 more source

Weakly-exceptional quotient singularities

open access: yesOpen Mathematics, 2012
Sakovics Dmitrijs
doaj   +1 more source

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