Results 21 to 30 of about 14,423,502 (287)
Classification of Enriques surfaces with finite automorphism group in characteristic 2 [PDF]
Algebraic Geometry, 2017 We classify supersingular and classical Enriques surfaces with finite automorphism group in characteristic 2 into 8 types according to their dual graphs of all $(-2)$-curves (nonsigular rational curves).
T. Katsura, S. Kondō, G. Martin
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AUTOMORPHISM GROUPS OF QUANDLES [PDF]
Journal of Algebra and Its Applications, 2012 We prove that the automorphism group of the dihedral quandle with n elements is isomorphic to the affine group of the integers mod n, and also obtain the inner automorphism group of this quandle. In [B. Ho and S. Nelson, Matrices and finite quandles, Homology Homotopy Appl.7(1) (2005) 197–208.], automorphism groups of quandles (up to isomorphisms) of ...
Elhamdadi, Mohamed +2 more
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A generalization of Pappus graph
Electronic Journal of Graph Theory and Applications, 2022 In this paper, we introduce a new family of cubic graphs Γ(m), called Generalized Pappus graphs, where m ≥ 3. We compute the automorphism group of Γ(m) and characterize when it is a Cayley graph.
Sucharita Biswas, Angsuman Das
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Classifying cubic symmetric graphs of order 52p2; pp. 55–60 [PDF]
Proceedings of the Estonian Academy of Sciences, 2023 An automorphism group of a graph is said to be s-regular if it acts regularly on the set of s-arcs in the graph. A graph is s-regular if its full automorphism group is s-regular.
Shangjing Hao, Shixun Lin
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Description of the automorphism groups of some Leibniz algebras
Researches in Mathematics, 2023 Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[,]$. Then $L$ is called a left Leibniz algebra if it satisfies the left Leibniz identity: $[[a,b],c]=[a,[b,c]]-[b,[a,c]]$ for all elements $a,b,c\in L$.
L.A. Kurdachenko, O.O. Pypka, M.M. Semko
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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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Automorphisms of Automorphism Groups of Free Groups
Journal 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
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The automorphism group of a rigid affine variety [PDF]
, 2016 An irreducible algebraic variety X is rigid if it admits no nontrivial action of the additive group of the ground field. We prove that the automorphism group Aut(X) of a rigid affine variety contains a unique maximal torus T .
I. Arzhantsev, Sergey A. Gaifullin
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Adiabatic paths of Hamiltonians, symmetries of topological order, and automorphism codes [PDF]
Physical review B, 2022 The recent"honeycomb code"is a fault-tolerant quantum memory defined by a sequence of checks which implements a nontrivial automorphism of the toric code. We argue that a general framework to understand this code is to consider continuous adiabatic paths
D. Aasen, Zhenghan Wang, M. Hastings
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Class-preserving Coleman automorphisms of some classes of finite groups
Open Mathematics, 2022 The normalizer problem of integral group rings has been studied extensively in recent years due to its connection with the longstanding isomorphism problem of integral group rings.
Hai Jingjing, Li Zhengxing, Ling Xian
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