Results 11 to 20 of about 121,014 (235)
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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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 $m>2$.
Aboras, Mouna, Vojtěchovský, Petr
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Transitive Deficiency One Parallelisms of PG(3, 7)
Mathematics, 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
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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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Automorphisms of complex reflection groups [PDF]
, 2009 Let $G\subset\GL(\BC^r)$ be a finite complex reflection group. We show that when $G$ is irreducible, apart from the exception $G=\Sgot_6$, as well as for a large class of non-irreducible groups, any automorphism of $G$ is the product of a central ...
Marin, Ivan, Michel, Jean
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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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Reversible skew laurent polynomial rings and deformations of poisson automorphisms [PDF]
, 2009 A skew Laurent polynomial ring S = R[x(+/- 1); alpha] is reversible if it has a reversing automorphism, that is, an automorphism theta of period 2 that transposes x and x(-1) and restricts to an automorphism gamma of R with gamma = gamma(-1).
DAVID A. JORDAN +7 more
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The Groups of Isometries of Metric Spaces over Vector Groups
Mathematics, 2022 In this paper, we consider the groups of isometries of metric spaces arising from finitely generated additive abelian groups. Let A be a finitely generated additive abelian group.
Sheng Bau, Yiming Lei
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FREE GROUPS AND AUTOMORPHISM GROUPS OF INFINITE STRUCTURES
Forum of Mathematics, Sigma, 2014 Given a cardinal $\lambda $ with $\lambda =\lambda ^{\aleph _0}$
PHILIPP LÜCKE, SAHARON SHELAH
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On the Orbit Problem of Free Lie Algebras
Journal of New Theory, 2023 By operationalizing $F_{n}$ as a free Lie Algebra of finite rank $n$, this work considers the orbit problem for $F_{n}$. The orbit problem is the following: given an element $u\in F_{n}$ and a finitely generated subalgebra $H$ of $F_{n}$, does $H$ meet ...
Zeynep Yaptı Özkurt
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