Results 1 to 10 of about 311 (137)
Доповiдi Нацiональної академiї наук України, 2021 A group G has a finite special rank r, if every finitely generated subgroup of G can be generated by at most r elements, and there exists a finitely generated subgroup H which has exactly r generators.
T.V. Velychko
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Diophantine problems in solvable groups [PDF]
Bulletin of Mathematical Sciences, 2020 We study the Diophantine problem (decidability of finite systems of equations) in different classes of finitely generated solvable groups (nilpotent, polycyclic, metabelian, free solvable, etc.), which satisfy some natural “non-commutativity” conditions.
Albert Garreta +2 more
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Finitely generic abelian lattice-ordered groups [PDF]
Transactions of the American Mathematical Society, 1983 The authors characterize the finitely generic abelian lattice-ordered groups and make application of this characterization to specific examples.
Saracino, Dan, Wood, Carol
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Polynilpotent Capability of Finitely Generated Abelian Groups [PDF]
Journal of Advanced Research in Pure Mathematics, 2010 6 ...
Mashayekhy, Behrooz +2 more
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Arithmetic matroids and Tutte polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We introduce the notion of arithmetic matroid, whose main example is provided by a list of elements in a finitely generated abelian group. We study the representability of its dual, and, guided by the geometry of toric arrangements, we give a ...
Michele D'Adderio, Luca Moci
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The Groups of Isometries of Metric Spaces over Vector Groups
Mathematics, 2022 In this paper, we consider the groups of isometries of metric spaces arising from finitely generated additive abelian groups. Let A be a finitely generated additive abelian group.
Sheng Bau, Yiming Lei
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On the Structure of the Mislin Genus of a Pullback
Mathematics, 2023 The notion of genus for finitely generated nilpotent groups was introduced by Mislin. Two finitely generated nilpotent groups Q and R belong to the same genus set G(Q) if and only if the two groups are nonisomorphic, but for each prime p, their p ...
Thandile Tonisi +2 more
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A bridge theorem for the entropy of semigroup actions
Topological Algebra and its Applications, 2020 The topological entropy of a semigroup action on a totally disconnected locally compact abelian group coincides with the algebraic entropy of the dual action.
Bruno Anna Giordano
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Minimal additive complements in finitely generated abelian groups [PDF]
The Ramanujan Journal, 2021 Given two non-empty subsets $W,W'\subseteq G$ in an arbitrary abelian group $G$, $W'$ is said to be an additive complement to $W$ if $W + W'=G$ and it is minimal if no proper subset of $W'$ is a complement to $W$. The notion was introduced by Nathanson and previous work by him, Chen--Yang, Kiss--S ndor--Yang etc. focussed on $G =\mathbb{Z}$.
Biswas, Arindam, Saha, Jyoti Prakash
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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. We develop a geometric analytic proof of the classical Heilbronn theorem and the recent Nayar theorem on polynomial growth harmonic functions on lattices $\mathds{Z}^n$ that does not use
Bobo Hua, Jürgen Jost, Xianqing Li-Jost
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