Results 11 to 20 of about 18,810 (231)
Constructing an Automorphism From an Anti-Automorphism
Canadian Mathematical Bulletin, 1968 We consider the following problem: Let G be a group with distinct automorphisms β and σ and an anti-automorphism α such thatWhat can be said about G?If σ = α, σ is both an automorphism and an anti-automorphism so that G is abelian. Hence we assume that σ ≠ α.
Christine Ayoub
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Topological rigidity of automorphism systems
Nantong Daxue xuebao. Ziran kexue banThis paper studies the automorphism actions of countable discrete groups on the étale equivalence relations on compact metric spaces. First, the notion of continuous strong orbit equivalence for automorphism systems is introduced and it is proved that ...
QIANG Xiangqi
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Automorphisms and Inner Automorphisms [PDF]
Journal of Mathematics, 2016 LetKbe a field of characteristic not2and letA=A0+A1be central simple superalgebra overK, and let⁎be superinvolution onA. Our main purpose is to classify the group of automorphisms and inner automorphisms of(A,⁎)(i.e., commuting with⁎) by using the classical theorem of Skolem-Noether.
Ameer Jaber, Moh'd Yasein
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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 $α$ an automorphism of $G$ that satisfies $α^2=1$ if $m>2$.
Aboras, Mouna, Vojtěchovský, Petr
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Journal of Nonlinear Mathematical Physics, 2021 Consider the family of smooth curves \(w^i=w^i(x)\), \(i=1,\dots m,\) in \(\mathbb R^{m+1}\). The aim of the paper is to study transformations of the form \(\overline{x}=F(x,\dots,w^j_s,\dots)\), \(\overline{w}^i=F^i(x,\dots,w^j_s,\dots)\) and their higher order derivatives \(\overline{w}^i_r=F^i_r(x,\dots,w^j_s,\dots)\), where \(w^j_s=\frac{d^sw^j}{dx^
Tryhuk, Václav, Chrastinová, Veronika
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Most switching classes with primitive automorphism groups contain graphs with trivial groups [PDF]
, 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
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AUTOMORPHISM GROUPS OF MAPS, SURFACES AND SMARANDACHE GEOMETRIES [PDF]
, 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
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Cluster automorphisms and quasi-automorphisms
Advances 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
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Proceedings of the London Mathematical Society, 2012 35 pages, v2 final version, to appear in Proc.
Assem, Ibrahim +2 more
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Crypto-automorphism group of some quasigroups [PDF]
, 2023 In quasigroup and loop theory, a pseudo-automorphism (with single companion) is known to generalize automorphism. In this work, the set of crypto-automorphisms (with twin companion) of a quasigroup with right and left identity elements were shown to form
Benard Osoba +5 more
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