Results 71 to 80 of about 509 (172)
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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Murley groups and the torsion-freeness of Ext
, 2011 Let B be a torsion-free Abelian group of finite rank with OT(B)=type(Q). This paper gives necessary and sufficient conditions for such a group B to be a finitely faithful S-group with the property that every finite rank pure subgroup of a group A with ...
Friedenberg, Stefan +3 more
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On free products of finite abelian groups
, 1972 The purpose of this note is to show that if G is the free product of finitely many, finite abelian groups then the commutator subgroup is a finitely generated free group whose rank depends only on the number and orders of the factors.
Robert Prener, Michael Anshel
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Groups Factorized by Pairwise Permutable Abelian Subgroups of Finite Rank
, 2016 It is proved that a group which is the product of pairwise permutable abelian subgroups of finite Prüfer rank is hyperabelian with finite Prüfer rank; in the periodic case the Sylow subgroups of such a product are described.
Yaroslav P. Sysak, Bernhard Amberg
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Green index in semigroups : generators, presentations and automatic structures
, 2012 The Green index of a subsemigroup T of a semigroup S is given by counting strong orbits in the complement S n T under the natural actions of T on S via right and left multiplication.
Ruskuc, Nik +4 more
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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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Induced Representations of Abelian Groups of Finite Rank
, 2003 Доведено, що кожне незвідне точне зображення абелевої групи G скінченного рангу і майже без скруту над скінченнопородженим полем нульової характеристики індуковане з незвідного зображення скінченнопородженої підгрупи групи G.We prove that any irreducible
Тушев, А.В.
core
The classification problem for S-local torsion-free abelian groups of finite rank
Advances in Mathematics, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Automorphic Bloch theorems for hyperbolic lattices. [PDF]
Proc Natl Acad Sci U S A, 2022 Maciejko J, Rayan S.
europepmc +1 more source