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c-compactness in locally compact groups and paratopological groups

Acta Mathematica Hungarica, 2017
A \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, 1988
AbstractIf 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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On Extensions of Locally Compact Groups

American Journal of Mathematics, 1966
Let 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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Locally compact abelian p-groups

Topology and its Applications, 2019
In 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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Compactness properties of locally compact groups

Transformation Groups, 1997
For a discrete group \(\Gamma\) and an integer \(n\), finiteness properties \(FP_n\) and \(F_n\) are considered. They are defined as follows: \(\Gamma\) is of type \(FP_n\) if there is a projective resolution of \(\mathbb{Z} \Gamma\) over the trivial \(\mathbb{Z} \Gamma\)-module \(\mathbb{Z}\) with finitely generated modules in dimension \(\leq n\). \(\
Abels, Herbert, Tiemeyer, A.
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Erratum to "Globalizing Locally Compact Local Groups"

Journal of Lie Theory, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
van den Dries, Lou, Goldbring, Isaac
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Compact and Weakly Compact Multipliers of Locally Compact Quantum Groups

Bulletin of the Iranian Mathematical Society, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Medghalchi, Alireza, Mollakhalili, Ahmad
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A New Group Algebra for Locally Compact Groups

American Journal of Mathematics, 1964
When an abstract group is represented by linear transformations on a vector space, the group of transformations generates an algebra. In the case of finite dimensional representations of a finite group, the algebra consists of linear combinations of elements in the range of the representation.
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Quantum harmonic analysis on locally compact groups

Journal of Functional Analysis, 2023
Simon Halvdansson
exaly  

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