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c-compactness in locally compact groups and paratopological groups
Acta Mathematica Hungarica, 2017A \textit{paratopological group} is a pair \((G,\mathbb T)\) where \(G\) is a group and \(\mathbb T\) a topology on it such that the multiplication is continuous, see \textit{N. Bourbaki} [General Topology, Part 1, Addison-Wesley Publ. Comp. (1966; Zbl 0301.54001)]. In the paper Hausdorff \textit{c-compact} paratopological groups are studied.
Juárez-Anguiano, H., Sánchez, I.
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Locally compact groups: maximal compact subgroups and N-groups
Mathematical Proceedings of the Cambridge Philosophical Society, 1988AbstractIf G is a locally compact group such thatG/G0contains a uniform compactly generated nilpotent subgroup, thenGhas a maximal compact normal subgroupKsuch thatG/Gis a Lie group. A topological groupGis an N-group if, for each neighbourhoodUof the identity and each compact setC⊂G, there is a neighbourhoodVof the identity such thatfor eachg∈G ...
Bayley, R. W., Wu, T. S., Yang, J. S.
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Locally compact abelian p-groups
Topology and its Applications, 2019In this interesting and well-written paper the authors study various aspects of \textit{ periodic} locally compact abelian (lca) groups. An lca group \(G\) is called \textit{ periodic} if it is totally disconnected and is a direct union of its compact subgroups.
Herfort W, Hofmann KH, Russo F
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On Extensions of Locally Compact Groups
American Journal of Mathematics, 1966Let Q be a locally compact group, and let K be a Q-module, that is, a locally compact Abelian group on which Q operates continuously as a group of automorphisms. An extension of Q by K is a locally compact group, G, together with a homomorphism, p, of G onto Q, and a topological isomorphism, i, of K onto the kernel of p, such that p induces a ...
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Erratum to "Globalizing Locally Compact Local Groups"
Journal of Lie Theory, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
van den Dries, Lou, Goldbring, Isaac
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