Results 11 to 20 of about 5,618 (233)
The cohomology of virtually torsion-free solvable groups of finite rank [PDF]
Transactions of the American Mathematical Society, 2013 Assume that $G$ is a virtually torsion-free solvable group of finite rank and $A$ a $\mathbb ZG$-module whose underlying abelian group is torsion-free and has finite rank.
P. Kropholler, K. Lorensen
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Dualities for torsion-free abelian groups of finite rank
Journal of Algebra, 1990 Two well-known dualities have been very useful in the study of torsionfree abelian groups of finite rank: Warlield duality for locally free groups and Arnold duality for quotient divisible groups [Wa, Ar].
C. Vinsonhaler, W. Wickless
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Splitting mixed groups of torsion-free finite rank II
Hokkaido Mathematical Journal, 2013 First we introduce the concept of QD-hulls in arbitrary abelian groups. Then we use the concept to give a new characterization of purifiable torsion-free finite rank subgroups of an arbitrary abelian group. Finally we use it to formulate a splitting criterion for mixed groups of torsion-free finite rank.
T. Okuyama
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Solving logistic tasks by parallelizing algorithms of the theory of direct decompositions of torsion-free abelian groups [PDF]
E3S Web of Conferences, 2023 The paper considers the principles of parallelization at marshalling yards and determines their importance. There are presented the methods for direct decompositions of torsion-free Abelian groups of finite rank.
Blagoveshchenskaya E. +2 more
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On the structure of groups admitting faithful modules with certain conditions of primitivity
Researches in Mathematics, 2023 In the paper we study structure of soluble-by-finite groups of finite torsion-free rank which admit faithful modules with conditions of primitivity. In particular, we prove that under some additional conditions if an infinite finitely generated linear ...
A.V. Tushev
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The Grothendieck and Picard groups of finite rank torsion free $$\mathfrak {sl}(2)$$-modules
RACSAM, 2022 The classification problem for simple $${\mathfrak {sl}(2)}$$ sl ( 2 ) -modules leads in a natural way to the study of the category of finite rank torsion free $${\mathfrak {sl}(2)}$$ sl ( 2 ) -modules and its subcategory of rational $${
F. J. Plaza Martín, C. Tejero Prieto
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Hypertypes of torsion-free abelian groups of finite rank [PDF]
Bulletin of the Australian Mathematical Society, 1989 Let G be a torsion-free abelian group of finite rank n and let F be a full free subgroup of G. Then G/F is isomorphic to T1 ⊕ … ⊕ Tn, where T1 ⊆ T2 ⊆ … ⊆ Tn ⊆ ℚ/ℤ. It is well known that type T1 = inner type G and type Tn = outer type G. In this note we give two characterisations of type Ti for 1 < i < n.
Goeters, H. P. +2 more
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A note on torsion-free abelian groups of finite rank [PDF]
Proceedings of the American Mathematical Society, 1973 Let G be a torsion-free abelian group of rank n and X= {xl, *. , x,j a maximal set of rationally independent elements in G. It is well known that any g e G can be uniquely written g= oc1xl?+ +x, for some cci, . , ?C72, E Q, the rational numbers. This enables us to define, for any such (G, X), a collection of subgroups of Q and "natural" isomorphisms ...
Wickless, W., Vinsonhaler, C.
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