Results 21 to 30 of about 277,944 (294)
Sparse sums of squares on finite abelian groups and improved semidefinite lifts [PDF]
Mathematical programming, 2015 Let G be a finite abelian group. This paper is concerned with nonnegative functions on G that are sparse with respect to the Fourier basis. We establish combinatorial conditions on subsets S\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage ...
Hamza Fawzi, J. Saunderson, P. Parrilo
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Complementary dual abelian codes in group algebras of some finite abelian groups [PDF]
ITM Web of ConferencesLinear complementary dual codes have become an interesting sub-family of linear codes over finite fields since they can be practically applied in various fields such as cryptography and quantum error-correction. Recently, properties of complementary dual
Jitman Somphong
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Thickness of the subgroup intersection graph of a finite group
AIMS Mathematics, 2021 Let $ G $ be a finite group. The intersection graph of subgroups of $ G $ is a graph whose vertices are all non-trivial subgroups of $ G $ and in which two distinct vertices $ H $ and $ K $ are adjacent if and only if $ H\cap K\neq 1 $. In this paper, we
Huadong Su, Ling Zhu
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Rainbow Arithmetic Progressions in Finite Abelian Groups [PDF]
, 2016 For positive integers $n$ and $k$, the \emph{anti-van der Waerden number} of $\mathbb{Z}_n$, denoted by $aw(\mathbb{Z}_n,k)$, is the minimum number of colors needed to color the elements of the cyclic group of order $n$ and guarantee there is a rainbow ...
Michael Young
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On Undecidability of Finite Subsets Theory for Torsion Abelian Groups
Mathematics, 2022 Let M be a commutative cancellative monoid with an element of infinite order. The binary operation can be extended to all finite subsets of M by the pointwise definition. So, we can consider the theory of finite subsets of M.
Sergey Mikhailovich Dudakov
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Ranks for Families of Theories of Abelian Groups
Известия Иркутского государственного университета: Серия "Математика", 2019 The rank for families of theories is similar to Morley rank and can be considered as a measure for complexity or richness of these families. Increasing the rank by extensions of families we produce more rich families and obtaining families with the ...
In. I. Pavlyuk, S.V. Sudoplatov
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Broué's conjecture for 2-blocks with elementary abelian defect groups of order 32 [PDF]
Advances in Group Theory and Applications, 2021 The first author recently classified the Morita equivalence classes of 2-blocks of finite groups with elementary abelian defect groups of order 32. In all but three cases he proved that the Morita equivalence class determines the inertial quotient of the
Cesare Giulio Ardito, Benjamin Sambale
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Inverse zero-sum problems and algebraic invariants [PDF]
, 2008 In this article, we study the maximal cross number of long zero-sumfree sequences in a finite Abelian group. Regarding this inverse-type problem, we formulate a general conjecture and prove, among other results, that this conjecture holds true for finite
Girard, Benjamin
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On Lattices Generated by Finite Abelian Groups [PDF]
SIAM Journal on Discrete Mathematics, 2014 This paper is devoted to the study of lattices generated by finite Abelian groups. Special species of such lattices arise in the exploration of elliptic curves over finite fields.
A. Böttcher +3 more
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Kneser’s theorem in -finite abelian groups [PDF]
Canadian Mathematical Bulletin, 2022 AbstractLet G be a $\sigma $ -finite abelian group, i.e., $G=\bigcup _{n\geq 1} G_n$ where $(G_n)_{n\geq 1}$ is a nondecreasing sequence of finite subgroups. For any $A\subset G$ , let $\underline {\mathrm {d}}( A ):=\liminf _{n\to \infty }\frac {|A\cap G_n|}{|G_n|}$ be its lower asymptotic density.
Bienvenu, Pierre-Yves +1 more
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