Results 41 to 50 of about 813,424 (237)
The geometry of spheres in free abelian groups [PDF]
Geometriae Dedicata, 2012 We study word metrics on Z^d by developing tools that are fine enough to measure dependence on the generating set. We obtain counting and distribution results for the words of length n. With this, we show that counting measure on spheres always converges to a limit measure on a limit shape (strongly, in an appropriate sense).
Duchin, Moon +2 more
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A Note on the Square Subgroups of Decomposable Torsion-Free Abelian Groups of Rank Three
Annales Mathematicae Silesianae, 2018 A hypothesis stated in [16] is confirmed for the case of associative rings. The answers to some questions posed in the mentioned paper are also given. The square subgroup of a completely decomposable torsion-free abelian group is described (in both cases
Woronowicz Mateusz
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International Journal of Mathematics and Mathematical Sciences, 2003 Let p be a prime. It is shown that an automorphism α of an abelian p-group A lifts to any abelian p-group of which A is a homomorphic image if and only if α=π idA, with π an invertible p-adic integer.
S. Abdelalim, H. Essannouni
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The character of free topological groups II
Applied General Topology, 2005 A systematic analysis is made of the character of the free and free abelian topological groups on metrizable spaces and compact spaces, and on certain other closely related spaces.
Peter Nickolas, Mikhail Tkachenko
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Surface links with free abelian link groups
, 2012 It is known that if a classical link group is a free abelian group, then its rank is at most two. It is also known that a $k$-component 2-link group ($k>1$) is not free abelian.
Nakamura, Inasa
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On the Indecomposability of Torsion-Free Abelian Groups [PDF]
Proceedings of the American Mathematical Society, 1965 1. We consider the following question posed by E. Weinberg [4, ?5.2]: Does there exist a torsion-free abelian group of cardinality greater than the continuum (K) with the property that each pure subgroup is (directly) indecomposable? In ?2 we answer this question negatively for a large class of groups which contains, most notably, the class of ...
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Physics Letters B, 2015 We show that there is a class of finite groups, the so-called perfect groups, which cannot exhibit anomalies. This implies that all non-Abelian finite simple groups are anomaly-free. On the other hand, non-perfect groups generically suffer from anomalies.
Mu-Chun Chen +4 more
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Quasirandom groups enjoy interleaved mixing
Discrete Analysis, 2023 Quasirandom groups enjoy interleaved mixing, Discrete Analysis 2023:14, 4 pp. In 1985 Babai and Sós asked whether there is a constant $c>0$ such that every group of order $n>1$ has a product-free subset of size at least $cn$, where this means a set $A ...
Harm Derksen, Emanuele Viola
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Illinois Journal of Mathematics, 1986 Let \(X\) be an associative ring. An \(X\)-group is a group \(G\) equipped with an action \(G\times X\to G\), \((g,x)\to g^ x\) such that \(g^ 1=g\), \((g^ x)^ y=g^{xy}\), \(g^ xg^ y=g^{x+y}\) for any \(x,y\in X\) and \(g\in G\). These groups were introduced by \textit{R. C. Lyndon} [Trans. Am. Math. Soc. 96, 518-533 (1960; Zbl 0108.02501)].
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Emergent Spin Hall Quantization and High‐Order van Hove singularities in Square‐Octagonal MA2Z4
Advanced Physics Research, EarlyView.Square‐octagonal MA2Z4 (M = Mo/W, A = Si/Ge, Z = pnictogen) monolayers are predicted to realize quantum spin Hall insulators with nearly quantized spin Hall conductivity enabled by an emergent spin U(1) quasi‐symmetry. Materials with Z = As and Sb host quasi‐flat bands with high‐order van Hove singularities near the Fermi level, making them promising ...
Rahul Verma +3 more
wiley +1 more source