Results 51 to 60 of about 472 (192)
On automorphism groups of Toeplitz subshifts
Discrete Analysis, 2017 On automorphism groups of Toeplitz subshifts, Discrete Analysis 2017:11, 19 pp. A discrete dynamical system is a space $X$ with some kind of structure, together with a map $\sigma\colon X\to X$ that preserves the structure.
Sebastian Donoso +3 more
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Exponential actions defined by vector configurations, Gale duality, and moment‐angle manifolds
Bulletin of the London Mathematical Society, EarlyView.Abstract Exponential actions defined by vector configurations provide a universal framework for several constructions of holomorphic dynamics, non‐Kähler complex geometry, toric geometry and topology. These include leaf spaces of holomorphic foliations, intersections of real and Hermitian quadrics, the quotient construction of simplicial toric ...
Taras Panov
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Finding product sets in some classes of amenable groups
Forum of Mathematics, SigmaIn [15], using methods from ergodic theory, a longstanding conjecture of Erdős (see [5, Page 305]) about sumsets in large subsets of the natural numbers was resolved.
Dimitrios Charamaras, Andreas Mountakis
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On the universal pairing for 2‐complexes
Bulletin of the London Mathematical Society, EarlyView.Abstract The universal pairing for manifolds was defined and shown to lack positivity in dimension 4 in [Freedman, Kitaev, Nayak, Slingerland, Walker, and Wang, J. Geom. Topol. 9 (2005), 2303–2317]. We prove an analogous result for 2‐complexes, and show that the universal pairing does not detect the difference between simple homotopy equivalence and 3 ...
Mikhail Khovanov +2 more
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Modules With Epimorphisms Between Their Submodules
Journal of MathematicsAn R-module M is called weakly uniserial if its submodules are comparable regarding embedding, i.e., if for any two submodules N, K of M, HomRN,K or HomRK,N contains an injective element.
P. Karimi Beiranvand
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Pathological computations of Mackey functor‐valued Tor over cyclic groups
Bulletin of the London Mathematical Society, EarlyView.Abstract In equivariant algebra, Mackey functors play the role of abelian groups and Green and Tambara functors play the role of commutative rings. In this paper, we compute Mackey functor‐valued Tor over certain free Green and Tambara functors, generalizing the computation of Tor over a polynomial ring on one generator.
David Mehrle +2 more
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An Outer Commutator Multiplier and Capability of Finitely Generated Abelian Groups [PDF]
Communications in Algebra, 2010 19 ...
Mohsen Parvizi, Behrooz Mashayekhy
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Residually nilpotent groups of homological dimension 1
Bulletin of the London Mathematical Society, EarlyView.Abstract If p$p$ is a prime number, then any free group is residually a finite p$p$‐group and has homological dimension 1. As a partial converse of this assertion, in this paper we show that any finitely generated group of homological dimension 1, which is residually a finite p$p$‐group, is free.
Ioannis Emmanouil
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Tensor powers of modules over finitely generated abelian groups
Journal of Algebra, 1985 In an earlier paper [ 11, the authors investigated, as a major component of their final result, a special case of the following question. Let R be a commutative ring with unity, G a finitely generated abelian group and A4 a finitely generated RG-module. Consider the tensor power @“, M as an RG-module via the diagonal action of G.
Robert Bieri, J. R. J. Groves
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The automorphism group of a finitely generated virtually abelian group
Groups Complexity Cryptology, 2016 AbstractWe describe a practical algorithm to compute the automorphism group of a finitely generated virtually abelian group. As application, we describe the automorphism groups of some small-dimensional crystallographic groups.
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