Results 71 to 80 of about 33,164 (164)
On the topological ranks of Banach ∗$^*$‐algebras associated with groups of subexponential growth
Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.Abstract Let G$G$ be a group of subexponential growth and C→qG$\mathcal C\overset{q}{\rightarrow }G$ a Fell bundle. We show that any Banach ∗$^*$‐algebra that sits between the associated ℓ1$\ell ^1$‐algebra ℓ1(G|C)$\ell ^1(G\,\vert \,\mathcal C)$ and its C∗$C^*$‐envelope has the same topological stable rank and real rank as ℓ1(G|C)$\ell ^1(G\,\vert ...
Felipe I. Flores
wiley +1 more source
Mathematical Methods in the Applied Sciences, Volume 49, Issue 1, Page 435-444, 15 January 2026.ABSTRACT Cartan's equivalence method is applied to explicitly construct three‐dimensional invariant coframes for three branches, which are used to characterize scalar second‐order ODEs with a three‐point symmetry Lie algebra. Additionally, we present a method for constructing the point transformation based on the derived invariant coframes.
Ahmad Y. Al‐Dweik +5 more
wiley +1 more source
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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Quasi-bialgebra Structures and Torsion-free Abelian Groups
, 2013 We describe all the quasi-bialgebra structures of a group algebra over a torsion-free abelian group. They all come out to be triangular in a unique way. Moreover, up to an isomorphism, these quasi-bialgebra structures produce only one (braided) monoidal ...
Ardizzoni, Alessandro +2 more
core
The Magnus representation and homology cobordism groups of homology cylinders
, 2015 A homology cylinder over a compact manifold is a homology cobordism between two copies of the manifold together with a boundary parametrization. We study abelian quotients of the homology cobordism group of homology cylinders. For homology cylinders over
Sakasai, Takuya
core
Lattices in a product of trees, hierarchically hyperbolic groups and virtual torsion-freeness. [PDF]
Bull Lond Math Soc, 2022 Hughes S.
europepmc +1 more source
Symmetry TFTs from String Theory. [PDF]
Commun Math Phys, 2023 Apruzzi F +4 more
europepmc +1 more source
Duality and self-reflexive torsion-free abelian groups
Journal of Pure and Applied Algebra, 1999 Given an abelian group \(A\), let \(M_A\) denote the category of those abelian groups that are isomorphic to \(\text{End}(A)\)-submodules of finite direct sums of copies of \(A\). For \(A\) a rank-one torsion-free abelian group, R. B. Warfield jun. showed that the functor \(\text{Hom}(-,A)\) defines a rank-preserving duality on \(M_A\) (all unadorned ...
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Unlikely intersections on the p-adic formal ball. [PDF]
Res Number Theory, 2023 Serban V.
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Protori and Torsion-Free Abelian Groups
, 2019 The Resolution Theorem for Compact Abelian Groups is applied to show that the profinite subgroups of a finite-dimensional compact connected abelian group (protorus) which induce tori quotients comprise a lattice under intersection (meet) and $+$ (join), facilitating a proof of the existence of a universal resolution.
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