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Examples of cosmological spacetimes without CMC Cauchy surfaces. [PDF]
Ling E, Ohanyan A.
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Elementary abelian operator groups [PDF]
Letp be a prime,n a positive integer. Suppose thatG is a finite solvablep'-group acted on by an elementary abelianp-groupA. We prove that ifCG(ϕ) is of nilpotent length at mostn for every nontrivial element ϕ ofA and |A|≥pn+1 thenG is of nilpotent length at mostn+1.
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Interlacing of elementary abelian groups
Mathematical Notes of the Academy of Sciences of the USSR, 1972A lattice of characteristic subgroups of multiple interlacings of finite elementary abelian groups by itself is established herein.
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1992
Elementary abelian groups can be thought of as additive groups of finite fields. As such, all of the tools of field theory are available to us in the study of orthomorphism graphs of these groups. In particular, any function from a finite field to itself, and thus any orthomorphism of the additive group of the field, can be realized as a polynomial ...
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Elementary abelian groups can be thought of as additive groups of finite fields. As such, all of the tools of field theory are available to us in the study of orthomorphism graphs of these groups. In particular, any function from a finite field to itself, and thus any orthomorphism of the additive group of the field, can be realized as a polynomial ...
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Groups with elementary Abelian centralizers of involutions
Algebra and Logic, 2007An involution i of a group G is said to be almost perfect in G if any two involutions of iG the order of a product of which is infinite are conjugated via a suitable involution in iG. We generalize a known result by Brauer, Suzuki, and Wall concerning the structure of finite groups with elementary Abelian centralizers of involutions to groups with ...
A. S. Kryukovskii, A. I. Sozutov
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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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