Results 31 to 40 of about 83,213 (229)
Karpatsʹkì Matematičnì Publìkacìï, 2021 A group $G$ has a finite special rank $r$ if every finitely generated subgroup of $G$ is generated by at most $r$ elements and there is a finitely generated subgroup of $G$ 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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A residual property of finitely generated abelian-by-nilpotent groups
Journal of Algebra, 1974 Dan Segal
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Boundedness of the p-primary torsion of the Brauer group of an abelian variety [PDF]
Compositio Mathematica, 2022 We prove that the $p^\infty$-torsion of the transcendental Brauer group of an abelian variety over a finitely generated field of characteristic $p>0$ is bounded.
Marco D'Addezio
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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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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.
Dan Saracino, Carol Wood
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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 K- and L-theory of hyperbolic and virtually finitely generated abelian groups [PDF]
, 2010 We investigate the algebraic K- and L-theory of the group ring RG, where G is a hyperbolic or virtually finitely generated abelian group and R is an associative ring with unit.
Wolfgang Lueck, David I. Rosenthal
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EXTENSIONS OF JOHNSON'S AND MORITA'S HOMOMORPHISMS THAT MAP TO FINITELY GENERATED ABELIAN GROUPS [PDF]
, 2013 We extend each higher Johnson homomorphism to a crossed homomorphism from the automorphism group of a finite-rank free group to a finite-rank abelian group. We also extend each Morita homomorphism to a crossed homomorphism from the mapping class group of
Matthew B. Day
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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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