Results 71 to 80 of about 2,671 (177)
Quotient divisible groups of rank 2
, 2021 In the paper, representations of torsion-free Abelian groups of rank 2 using torsion-free groups of rank 1 are studied. Necessary and sufficient conditions are found under which a group given by such a representation is quotient divisible. A criterion is
Timoshenko, E. A., Zonov, M. N.
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ABELIAN GROUPS WITHOUT TORSION WITH FINITE GROUPS OF AUTOMORPHISMS
, 1995 Abelian groups without torsion of a finite rank and their groups of automorphisms are investigated in the paper aiming at the construction of the structural theory of quasi-decomposition abelian groups without torsion of a finite rank with finite groups ...
Kozhukhov, Sergey Fedorovich
core
Finite automata presentable abelian groups
, 2008 We give new examples of FA presentable torsion-free abelian groups. Namely, for every n⩾2, we construct a rank n indecomposable torsion-free abelian group which has an FA presentation.
André Nies +5 more
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Locally compact abelian $p$-groups
, 2019 A locally compact abelian group is called periodic if it is totally disconnected and is a directed union of its compact subgroups. Various aspects of abelian periodic groups are considered such as – decomposing them into local products of their
Russo F, Hofmann KH, Herfort W
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Countable ℵ0-indecomposable mixed abelian groups of finite torsion-free rank
Journal of Algebra, 1986 A group is \(\aleph_ 0\)-indecomposable if it cannot be decomposed into a direct sum of \(\aleph_ 0\) non-zero summands. In this paper the authors find necessary and sufficient conditions for an extension of a countable reduced torsion abelian group T by a finite rank torsion-free abelian group R to be \(\aleph_ 0\)-indecomposable. These conditions are
Shelah, Saharon, Soifer, Alexander
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Torsion-free modules of finite rank over a discrete valuation ring
, 2004 Finite direct sums of finite rank purely indecomposable modules (called pi-decomposable modules) are characterized by the ranks of quotients of radicals.
Rangaswamy, K.M. +2 more
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, 2008 . We prove that the isomorphism and quasi-isomorphism relations on the p-local torsion-free abelian groups of fixed finite rank n are incomparable with respect to Borel reducibility ...
Samuel Coskey
core
On torsion and mixed minimal Abelian groups
, 2002 An abelian group is said to be minimal if it is isomorphic to all its subgroups of finite index. We obtain a complete characterisation of such groups in the torsion case; in the case of mixed groups of rank 1 we obtain a characterisation for some large ...
S. Ó hÓgáin +3 more
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Unlikely intersections on the p-adic formal ball. [PDF]
Res Number Theory, 2023 Serban V.
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Tits alternatives for graph products
, 2015 We discuss various types of Tits Alternative for subgroups of graph products of groups, and prove that, under some natural conditions, a graph product of groups satisfies a given form of Tits Alternative if and only if each vertex group satisfies this ...
Antolin, Yago, Minasyan, Ashot
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