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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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Compact groups containing dense pseudocompact subgroups without non-trivial convergent sequences
Jorge Galindo,S. Garcia-Ferreira +1 more
TL;DR: In this article, it was shown that every compact connected abelian group has a dense pseudocompact subgroup without non-trivial convergent sequences, where C (G) is the component of the identity of G and m (G ) is the smallest cardinality of a dense subgroup of G.
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Unveiling mapping structures of spinor duals
TL;DR: In this article, the existence of spinor duals and the conditions under which sets of such dual maps do not form a group are studied, as well as the covariance of bilinear quantities constructed with the several possible duals, the invariant eigenspaces of those group elements and its connections with spinors classification.
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On the Tor functor and some classes of abelian groups.
TL;DR: The functor Tor as discussed by the authors is related to some classes of Cλ groups, notably the IT groups, and when λ = Ω the CΩ groups of balanced projective dimensions 1.
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Abelian torsion groups with a countably compact group topology
TL;DR: Dikranjan and Tkachenko as mentioned in this paper showed that for any cardinal κ there are countably compact groups without non-trivial convergent sequences of cardinality κ ω for any infinite cardinal ω.