Results 41 to 50 of about 68,515 (199)
Similarity and Coincidence Isometries for Modules [PDF]
, 2010 The groups of (linear) similarity and coincidence isometries of certain modules in d-dimensional Euclidean space, which naturally occur in quasicrystallography, are considered.
Adkins +8 more
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Elementary abelian operator groups
Manuscripta Mathematica, 1994 Let \(A\) be an elementary abelian \(p\)-group which acts on a solvable \(p'\)- group \(G\). If \(\phi \in A\), \(C_ G(\phi)\) denotes the fixed point subgroup of \(\phi\). Previous results of \textit{A. Turull} [J. Algebra 86, 555-566 (1984; Zbl 0526.20017)] and of \textit{F. Gross} [Bull. Aust. Math. Soc.
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Elementary abelian operator groups and admissible formations [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1983 AbstractSuppose the elementary abelian group A acts on the group G where A and G have relatively prime orders. If CG(a) belongs to some formation F for all non-identity elements a in A, does it follow that G belongs to F? For many formations, the answer is shown to be yes provided that the rank of A is sufficiently large.
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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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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.
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Locally pure topological abelian groups: elementary invariants
Annals of Pure and Applied Logic, 1983 Traditional model theory deals with first-order theories of algebraic systems. A basic result in the model theory of abelian groups, obtained by Szmielew [13] in 1955, is the decidability of the full theory of abelian groups. Szmielew uses the method of elimination of quantifiers, which typically produces the sharpest results.
Cherlin, G., Schmitt, P. H.
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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Lattices of finite abelian groups
, 2019 We study certain lattices constructed from finite abelian groups. We show that such a lattice is eutactic, thereby confirming a conjecture by B\"ottcher, Eisenbarth, Fukshansky, Garcia, Maharaj. Our methods also yield simpler proofs of two known results:
Ladisch, Frieder
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Elementary Abelian $p$ Subgroups of Lie Groups
Publications of the Research Institute for Mathematical Sciences, 1991 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kane, Richard, Notbohm, Dietrich
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Sensitivity and Hamming Graphs
Journal of Graph Theory, EarlyView.ABSTRACT For any m ≥ 3 $m\ge 3$ we show that the Hamming graph H ( n , m ) $H(n,m)$ admits an imbalanced partition into m $m$ sets, each inducing a subgraph of low maximum degree. This improves previous results by Tandya and by Potechin and Tsang, and disproves the Strong m $m$‐ary Sensitivity Conjecture of Asensio, García‐Marco, and Knauer.
Sara Asensio +3 more
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