Results 21 to 30 of about 12,625 (238)
On Group Codes Over Elementary Abelian Groups
Sultan Qaboos University Journal for Science, 2003 For group codes over elementary Abelian groups we present definitions of the generator and the parity check matrices, which are matrices over the ring of endomorphism of the group.
Adnan A. Zain
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The character of free topological groups I
Applied General Topology, 2005 A systematic analysis is made of the character of the free and free abelian topological groups on uniform spaces and on topological spaces. In the case of the free abelian topological group on a uniform space, expressions are given for the character in ...
Peter Nickolas, Mikhail Tkachenko
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Annihilating Graph of Abelian Groups
پژوهشهای ریاضی, 2021 In [18], the author associated a graph to an R -module M which is precisely a generalization of annihilating ideal graph of a commutative ring, see [15] and [16]. Inasmuch as Abelian groups are precisely Z-modules, in this paper we relate an annihilating
saeed safaeeyan, Soraya Barzegar
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Commutators and abelian groups [PDF]
Journal of the Australian Mathematical Society, 1977 AbstractIf G is a group, then K(G) is the set of commutators of elements of G. C is the class of groups such that G′ = K(G) is the minimal cardinality of any generating set of dG. We prove: Theorem A. Let G be a nilpotent group of class two such that G' is finite and d(G′) < 4.Then G < G.Theorm B.
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On Some Results of a Torsion-Free Abelian Kernel Group
Recoletos Multidisciplinary Research Journal, 2014 In [6], for any torsion-free abelian groups Gand H, the kernel of Hin GisfHGGHHomfker, ker,. The kernel of Hin Gis a pure fully invariant subgroup of G.
Ricky B. Villeta
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Comparison of Pre and Post-Action of a Finite Abelian Group Over Certain Nonlinear Schemes
IEEE Access, 2020 This paper proposes to present a novel group theoretic approach of improvising the cryptographic features of substitution-boxes. The approach employs a proposed finite Abelian group of order 3720 with three generators and six relations.
Muhammad Awais Yousaf +4 more
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Electrical Step‐Edge Contact to a Topological Superconductor Candidate 2M‐WS2
Advanced Science, EarlyView.This work develops a step‐edge contact technique for encapsulated 2M‐WS2, effectively protecting the material from contamination and achieving ultralow contact resistance ( 65 µm). Highly transparent interfaces, as evidenced by Andreev reflection, enable the observation of intrinsic superconducting properties.
Qikang Gan +19 more
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Two Types of Non‐Abelian Topological Phase Transitions Under Duality Mapping in 1D Photonic Chains
Advanced Science, EarlyView.In this work, two types of non‐Abelian phase transitions are revealed. The first type is the braided‐node type, signified by the Dirac degeneracy node moving into or out of the unit circle. The second type corresponds to the emerging of nodal‐line degeneracy which intersects with unit circles.
Yufu Liu +6 more
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Note on the space group selection rule for closed strings on orbifolds
Journal of High Energy Physics, 2019 It is well-known that the space group selection rule constrains the interactions of closed strings on orbifolds. For some examples, this rule has been described by an effective Abelian symmetry that combines with a permutation symmetry to a non-Abelian ...
Saúl Ramos-Sánchez +1 more
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Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
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