Results 41 to 50 of about 68,261 (266)
On Algebraic and Definable Closures for Theories of Abelian Groups
Известия Иркутского государственного университета: Серия "Математика"Classifying abelian groups and their elementary theories, a series of characteristics arises that describe certain features of the objects under consideration.
In.I. Pavlyuk
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Finite self-similar p-groups with abelian first level stabilizers
, 2010 We determine all finite p-groups that admit a faithful, self-similar action on the p-ary rooted tree such that the first level stabilizer is abelian. A group is in this class if and only if it is a split extension of an elementary abelian p-group by a ...
Berlatto A. +9 more
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Phases of Wilson lines: conformality and screening
Journal of High Energy Physics, 2023 We study the rich dynamics resulting from introducing static charged particles (Wilson lines) in 2+1 and 3+1 dimensional gauge theories. Depending on the charges of the external particles, there may be multiple defect fixed points with interesting ...
Ofer Aharony +4 more
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On Skew Hadamard difference sets [PDF]
, 2010 In this paper we construct exponentionally many non-isomorphic skew Hadamard difference sets over an elementary abelian group of order $q^3$
Muzychuk, Mikhail
core
Algebraic symmetries of generic $(m+1)$ dimensional periodic Costas arrays
, 2012 In this work we present two generators for the group of symmetries of the generic $(m+1)$ dimensional periodic Costas arrays over elementary abelian $(\mathbb{Z}_p)^m$ groups: one that is defined by multiplication on $m$ dimensions and the other by shear
Arce-Nazario, Rafael +4 more
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Complexity and elementary abelian p-groups
Journal of Algebra, 1984 Let G be a finite group and k a field of characteristic \(p>0\). If M is a finitely generated kG-module and \(...\to P_ m\to P_{m-1}\to...\to P_ 0\to M\to 0\) a minimal projective resolution of M, then the complexity, \(c_ G(M)\), of M is the least integer \(s\geq 0\) such that \(\lim_{m\to \infty}\dim_ kP_ m/m^ s=0.\) \textit{J. L.
openaire +2 more sources
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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Completely simple endomorphism rings of modules
Applied General Topology, 2018 It is proved that if Ap is a countable elementary abelian p-group, then: (i) The ring End (Ap) does not admit a nondiscrete locally compact ring topology.
Victor Bovdi +2 more
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On the Order of Nilpotent Multipliers of Finite p-Groups [PDF]
, 2011 Let $G$ be a finite $p$-group of order $p^n$. YA. G. Berkovich (Journal of Algebra {\bf 144}, 269-272 (1991)) proved that $G$ is elementary abelian $p$-group if and only if the order of its Schur multiplier, $M(G)$, is at the maximum case. In this paper,
Mashayekhy, Behrooz +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
wiley +1 more source