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Elementary Abelian Cartesian Groups Cartesian Groups
Canadian Journal of Mathematics, 1988Throughout the paper, G will denote an additively written, but not always abelian, group of finite order n; and X = (xij) will denote a square matrix of order n with entries from G and whose rows and columns are numbered 0, 1, …, n − 1. We call X a cartesian array (afforded by G) if(1.1) The sequence {−xmi + xki, i = 0,…, n – 1} contains all elements ...
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On groups admitting an elementary Abelian automorphism group
1974Recently a number of theorems have been proved showing that if V is a fixedpoint-free group of automorphisms of the finite group G then, with certain additional assumptions, G is soluble. These theorems may be found in [3], [4], [6] and [7].
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The multiplier conjecture for elementary abelian groups
Journal of Combinatorial Designs, 1994AbstractApplying the method that we presented in [19], in this article we prove: “Let G be an elementary abelian p‐group. Let n = dn1. If d(≠ p) is a prime not dividing n1, and the order w of d mod p satisfies \documentclass{article}\pagestyle{empty}\begin{document}$ w > \frac{{d^2}}{3} $\end{document}, then the Second Multiplier Theorem holds ...
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Experimental observation of non-Abelian topological charges and edge states
Nature, 2021Qinghua Guo +2 more
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Non-Abelian braiding on photonic chips
Nature Photonics, 2022Xu-lin Zhang, Feng Yu, Ze-guo Chen
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Experimental observation of non-Abelian topological acoustic semimetals and their phase transitions
Nature Physics, 2021Xue-tai Chen, Adrien Bouhon, Feng Li
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Non-Abelian gauge fields in circuit systems
Nature Electronics, 2022Shuai Zhang, Fengqi Song, Rui Yu
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Non-Abelian Thouless pumping in photonic waveguides
Nature Physics, 2022Xu-lin Zhang, Zhen-nan Tian, Hong-bo Sun
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Classical non-Abelian braiding of acoustic modes
Nature Physics, 2022Ze-guo Chen, Ruo-yang Zhang, C T Chan
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Non-Abelian anyons and topological quantum computation
Reviews of Modern Physics, 2008Ady Stern +2 more
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