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Infinite Abelian groups
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The article was published on 1970-01-01 and is currently open access. It has received 2613 citations till now. The article focuses on the topics: Elementary abelian group & Rank of an abelian group.read more
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Postnikov pieces and BZ/p-homotopy theory
TL;DR: In this article, a constructive method to compute the cellularization with respect to B m Z/p for any integer m > 1 of a large class of H-spaces, namely all those which have a finite number of non-trivial B mZ/p-homotopy groups, is presented.
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The coarse classification of countable abelian groups
TL;DR: In this article, it was shown that two countable locally finite-by-abelian groups are coarsely equivalent if and only if their asymptotic dimensions coincide and the groups are either both finitely generated or both are infinitely generated.
Book ChapterDOI
Endomorphism Rings of Abelian P-Groups
TL;DR: In this paper, the problem of finding necessary and sufficient conditions that an abstract ring be isomorphic to EA for some abelian group A is solved for p-groups without elements of infinite height.
Journal ArticleDOI
Finding representatives for the orbits under the automorphism group of a bounded abelian group
TL;DR: In this article, given any bounded abelian p-group A for some prime p, a system of representatives for the orbits of A under its automorphism group is determined.
Journal ArticleDOI
Extensions by Simple C -Algebras: Quasidiagonal Extensions
TL;DR: In this paper, the Universal Coefficient Theorem was used to show that two essential extensions and of by are approximately unitarily equivalent if and only if If is assumed to satisfy the universal coefficient theorem, there is a bijection from approximate unitary equivalence classes of the above mentioned extensions to.