Results 21 to 30 of about 18,324 (228)

Automorphism groups of graph covers and uniform subset graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2018
Hofmeister considered the automorphism groups of antipodal graphs through the exploration of graph covers. In this note we extend the exploration of automorphism groups of distance preserving graph covers.
N.B. Mumba, E. Mwambene
doaj   +2 more sources

Symmetry and symmetry breaking in science and arts

open access: yesProceedings (European Academy of Sciences and Arts), 2022
In this review article, symmetry and symmetry breaking are considered as complementary principles in science and arts. It starts with symmetry and symmetry breaking in early world views of nature and art.
Klaus Mainzer
doaj   +1 more source

Transitive Deficiency One Parallelisms of PG(3, 7)

open access: yesMathematics, 2023
Consider the n-dimensional projective space PG(n,q) over a finite field with q elements. A spread in PG(n,q) is a set of lines which partition the point set. A parallelism is a partition of the set of lines by spreads.
Svetlana Topalova, Stela Zhelezova
doaj   +1 more source

Most switching classes with primitive automorphism groups contain graphs with trivial groups [PDF]

open access: yes, 2015
The operation of switching a graph Gamma with respect to a subset X of the vertex set interchanges edges and non-edges between X and its complement, leaving the rest of the graph unchanged.
Cameron, Peter Jephson, Spiga, Pablo
core   +2 more sources

Cluster automorphisms [PDF]

open access: yesProceedings of the London Mathematical Society, 2012
35 pages, v2 final version, to appear in Proc.
Assem, Ibrahim   +2 more
openaire   +2 more sources

AUTOMORPHISM GROUPS OF MAPS, SURFACES AND SMARANDACHE GEOMETRIES [PDF]

open access: yes, 2011
Automorphism groups survey similarities on mathematical systems, which appear nearly in all mathematical branches, such as those of algebra, combinatorics, geometry, · · · and theoretical physics, theoretical chemistry, etc..
MAO, LINFAN
core   +1 more source

Cluster automorphisms and quasi-automorphisms

open access: yesAdvances in Applied Mathematics, 2019
We study the relation between the cluster automorphisms and the quasi-automorphisms of a cluster algebra $\mathcal{A}$. We proof that under some mild condition, satisfied for example by every skew-symmetric cluster algebra, the quasi-automorphism group of $\mathcal{A}$ is isomorphic to a subgroup of the cluster automorphism group of $\mathcal{A}_{triv}$
Wen Chang, Ralf Schiffler
openaire   +4 more sources

On the Automorphisms of a Sfield [PDF]

open access: yesProceedings of the National Academy of Sciences, 1949
Le rapporteur a introduit la notion de semi-automorphisme d'un anneau \(A\) [J. Reine Angew. Math. 184, 193--198 (1942; Zbl 0027.12102)] comme une correspondance \(a \leftrightarrow a'\) biunivoque de \(A\) sur lui-même avec les propriétés (1) \((a+b)' = a' + b'\), (2) \((ab)' + (ba)' = a'b' + b'a'\); et a démontré [Ann. Math.
openaire   +3 more sources

Automorphisms of Automorphism Groups of Free Groups

open access: yesJournal of Algebra, 2000
The main result of the paper states that, for \(n\geq 3\), every automorphism of the outer automorphism group \(\text{Out}(F_n)\) of the free group \(F_n\) of rank \(n\) is an inner automorphism, or in other words that \(\text{Out}(\text{Out}(F_n))\) is the trivial group (and the same also for the automorphism group \(\Aut(F_n)\), a result obtained ...
Bridson, M, Vogtmann, K
openaire   +2 more sources

Recent developments on the power graph of finite groups – a survey

open access: yesAKCE International Journal of Graphs and Combinatorics, 2021
Algebraic graph theory is the study of the interplay between algebraic structures (both abstract as well as linear structures) and graph theory. Many concepts of abstract algebra have facilitated through the construction of graphs which are used as tools
Ajay Kumar   +3 more
doaj   +1 more source

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