Results 21 to 30 of about 163,882 (275)
Automorphism groups of graph covers and uniform subset graphs
AKCE 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
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Recent developments on the power graph of finite groups – a survey
AKCE 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
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Symmetry and symmetry breaking in science and arts
Proceedings (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
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Reductivity of the automorphism group of K-polystable Fano varieties [PDF]
Inventiones Mathematicae, 2019 We prove that K-polystable log Fano pairs have reductive automorphism groups. In fact, we deduce this statement by establishing more general results concerning the S-completeness and Θ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym}
J. Alper +3 more
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Automorphism groups of some variants of lattices
Karpatsʹkì Matematičnì Publìkacìï, 2021 In this paper we consider variants of the power set and the lattice of subspaces and study automorphism groups of these variants. We obtain irreducible generating sets for variants of subsets of a finite set lattice and subspaces of a finite vector space
O.G. Ganyushkin, O.O. Desiateryk
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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
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Automorphism groups and Ramsey properties of sparse graphs [PDF]
Proceedings of the London Mathematical Society, 2018 We study automorphism groups of sparse graphs from the viewpoint of topological dynamics and the Kechris, Pestov, Todorčević correspondence. We investigate amenable and extremely amenable subgroups of these groups using the space of orientations of the ...
D. Evans, J. Hubička, J. Nešetřil
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Automorphisms of Dihedral-Like Automorphic Loops [PDF]
Communications in Algebra, 2015 Automorphic loops are loops in which all inner mappings are automorphisms. A large class of automorphic loops is obtained as follows: Let $m$ be a positive even integer, $G$ an abelian group, and $ $ an automorphism of $G$ that satisfies $ ^2=1$ if $m>2$.
Mouna Aboras, Petr Vojtěchovský
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Outer automorphism anomalies [PDF]
Journal of High Energy Physics, 2022 Abstract We discuss anomalies associated with outer automorphisms in gauge theories based on classical groups, namely charge conjugations for SU(N ) and parities for SO(2r). We emphasize the inequivalence (yet related by a flavor transformation) between two versions of charge conjugation for SU(2k), SO(2r), and E6 symmetries.
Brian Henning +3 more
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Fano threefolds with infinite automorphism groups [PDF]
Izvestiya: Mathematics, 2018 We classify smooth Fano threefolds with infinite automorphism groups.
I. Cheltsov +2 more
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