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Polynomial Growth Harmonic Functions on Finitely Generated Abelian Groups [PDF]
Annals of Global Analysis and Geometry, 2013 In the present paper, we develop geometric analytic techniques on Cayley graphs of finitely generated abelian groups to study the polynomial growth harmonic functions.
B Hua +48 more
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Finitely generated subgroups as von Neumann radicals of an Abelian group [PDF]
Математичні Студії, 2012 Let G be an infinite Abelian group. We give a complete characterization of those finitely generated subgroups of G which are the von Neumann radicals for some Hausdorff group topologies on G.
S. S. Gabriyelyan
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Abelian varieties and finitely generated Galois groups [PDF]
Contemporary Mathematics, 2019 This paper surveys the methods that have been used to attack the conjecture, still open, that an abelian variety over a characteristic $0$ field with finitely generated Galois group is always of infinite rank.
Bo-Hae Im, M. Larsen
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Lattice-ordered abelian groups finitely generated as semirings [PDF]
Journal of Commutative Algebra, 2015 A lattice-ordered group (an $\ell$-group) $G(\oplus, \vee, \wedge)$ can be naturally viewed as a semiring $G(\vee,\oplus)$. We give a full classification of (abelian) $\ell$-groups which are finitely generated as semirings, by first showing that each ...
V. Kala
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On free products of finitely generated abelian groups [PDF]
Transactions of the American Mathematical Society, 1974 A. Gaglione
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Multiple holomorphs of finitely generated abelian groups [PDF]
Transactions of the American Mathematical Society, 1951 The object of this paper is to determine all cases in which two or more finitely generated abelian groups have the same holomorph(l). Let G and G' be finitely generated abelian groups and let H be the holomorph of G. Then it will be shown that H is the holomorph of G' if and only if G' is an invariant maximal-abelian subgroup of H isomorphic to G.
W. Mills
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On automorphism groups of Toeplitz subshifts [PDF]
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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Note on quasivarieties generated by finite pointed abelian groups [PDF]
Open MathematicsWe prove that a finite pointed abelian group generates a finitely axiomatizable variety that has a finite quasivariety lattice. As a consequence, we obtain that a quasivariety generated by a finite pointed abelian group has a finite basis of quasi ...
Basheyeva Ainur, Lutsak Svetlana
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Maxima of stable random fields, nonsingular actions and finitely generated abelian groups: A survey [PDF]
, 2017 This is a self-contained introduction to the applications of ergodic theory of nonsingular (also known as quasi-invariant) group actions and the structure theorem for finitely generated abelian groups on the extreme values of stationary symmetric stable ...
Parthanil Roy
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Measurable Tilings by Abelian Group Actions [PDF]
International mathematics research notices, 2022 Let $X$ be a measure space with a measure-preserving action $(g,x) \mapsto g \cdot x$ of an abelian group $G$. We consider the problem of understanding the structure of measurable tilings $F \odot A = X$ of $X$ by a measurable tile $A \subset X ...
Jan Greb'ik +3 more
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