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Compact 2-port linearly and circularly polarized antennas using low cross-polarization miniaturized patch. [PDF]
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Compact groups of compact galaxies. V
Astrophysics, 1976The lists of compact groups of compact galaxies are continued with a third list, which contains 54 new objects of this class discovered at Byurakan on the Palomar Sky Survey Charts. Searches were made in the +60, +66, +72/sup 0/ zones of the charts, which were completely surveyed except for regions near the galactic equator.
F. W. Baier, H. Tiersch
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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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The essentially chief series of a compactly generated locally compact group
, 2015We first obtain finiteness properties for the collection of closed normal subgroups of a compactly generated locally compact group. Via these properties, every compactly generated locally compact group admits an essentially chief series – i.e.
Colin D. Reid, Phillip R. Wesolek
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The Spherical Transform of any k-Type in a Locally Compact Group
Journal of Lie theory, 2012Given a locally compact group G and a compact subgroup K , we develop and study a spherical transform on the convolution algebra Cc,δ(G) of all continuous functions f with compact support on G such that χδ∗f = f∗χδ = f .
P. Román, J. Tirao
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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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Israel Journal of Mathematics, 2003
A group is called Engel if every two elements \(a,b\) of the group satisfy a relation of the form \[ [\cdots[[a,b],b],\dots,b]=1, \] where \([a,b]=a^{-1}b^{-1}ab\). In 1992, \textit{J. S. Wilson} and \textit{E. I. Zelmanov} [J. Pure Appl. Algebra 81, No. 1, 103-109 (1992; Zbl 0851.17007)] proved that a profinite Engel group is locally nilpotent.
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A group is called Engel if every two elements \(a,b\) of the group satisfy a relation of the form \[ [\cdots[[a,b],b],\dots,b]=1, \] where \([a,b]=a^{-1}b^{-1}ab\). In 1992, \textit{J. S. Wilson} and \textit{E. I. Zelmanov} [J. Pure Appl. Algebra 81, No. 1, 103-109 (1992; Zbl 0851.17007)] proved that a profinite Engel group is locally nilpotent.
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1974
This paper is concerned exclusively with compact Hausdorff topological groups, all elements of which have finite order (compact torsion groups). It is well known that a compact torsion group is necessarily totally disconnected [5, (28.20)] and hence profinite.
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This paper is concerned exclusively with compact Hausdorff topological groups, all elements of which have finite order (compact torsion groups). It is well known that a compact torsion group is necessarily totally disconnected [5, (28.20)] and hence profinite.
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