Results 41 to 50 of about 14,423,502 (287)
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
A Note on Eigenvalues and Asymmetric Graphs
Axioms, 2023 This note is intended as a contribution to the study of quantitative measures of graph complexity that use entropy measures based on symmetry. Determining orbit sizes of graph automorphism groups is a key part of such studies. Here we focus on an extreme
Abdullah Lotfi +2 more
doaj +1 more source
An atlas of K3 surfaces with finite automorphism group [PDF]
Épijournal de Géométrie Algébrique, 2022 We study the geometry of the K3 surfaces $X$ with a finite number automorphisms and Picard number $\geq 3$. We describe these surfaces classified by Nikulin and Vinberg as double covers of simpler surfaces or embedded in a projective space.
Xavier Roulleau
doaj +1 more source
L-threo-D-galacto-Octitol: a curious non-classical order-disorder polytype with an 88 Å axis. [PDF]
Acta Crystallogr B Struct Sci Cryst Eng MaterThe sugar alcohol l‐threo‐d‐galacto‐octitol crystallizes in a structure with P43212 pseudo‐symmetry and a highly elongated unit cell (c ≈ 88 Å). In distinct layers of the structure, symmetry is broken by an asymmetric hydrogen‐bonding network leading to polytypism, which is discussed in the framework of order–disorder theory.GalC8 [l‐threo‐d‐galacto ...
Biedermann N +5 more
europepmc +2 more sources
THE AUTOMORPHISM GROUP OF A SHIFT OF LINEAR GROWTH: BEYOND TRANSITIVITY [PDF]
Forum of Mathematics, Sigma, 2014 For a finite alphabet ${\mathcal{A}}$ and shift $X\subseteq {\mathcal{A}}^{\mathbb{Z}}$ whose factor complexity function grows at most linearly, we study the algebraic properties of the automorphism group $\text{Aut}(X)$.
Van Cyr, Bryna Kra
semanticscholar +1 more source
1-Designs from the group PSL2(59) and their automorphism groups [PDF]
Mathematics Interdisciplinary Research, 2018 In this paper, we consider the projective special linear group PSL2(59) and construct some 1-designs by applying the Key-Moori method on PSL2(59). Moreover, we obtain parameters of these designs and their automorphism groups.
Reza Kahkeshani
doaj +1 more source
On the endomorphism semigroups of extra-special $p$-groups and automorphism orbits [PDF]
International Journal of Group Theory, 2022 For an odd prime $p$ and a positive integer $n$, it is well known that there are two types of extra-special $p$-groups of order $p^{2n+1}$, first one is the Heisenberg group which has exponent $p$ and the second one is of exponent $p^2$.
Chudamani Pranesachar Anil Kumar +1 more
doaj +1 more source
On Groups of Automorphism of Lie Groups [PDF]
Proceedings of the National Academy of Sciences, 1944 Not ...
openaire +3 more sources
The full automorphism group of the power (di)graph of a finite group [PDF]
European journal of combinatorics (Print), 2014 We describe the full automorphism group of the power (di)graph of a finite group. As an application, we solve a conjecture proposed by Doostabadi, Erfanian and Jafarzadeh in 2013.
Min Feng, Xuanlong Ma, Kaishun Wang
semanticscholar +1 more source
Linear codes resulting from finite group actions [PDF]
Transactions on Combinatorics, 2022 In this article, we use group action theory to define some important ternary linear codes. Some of these codes are self-orthogonal having a minimum distance achieving the lower bound in the previous records. Then, we define two new codes sharing the same
Driss Harzalla
doaj +1 more source