Hahn's Embedding Theorem for orders and harmonic analysis on groups with ordered duals

Nakhlé Asmar; Stephen Montgomery-Smith

Displaying similar documents to “Hahn's Embedding Theorem for orders and harmonic analysis on groups with ordered duals”

On groups satisfying $| G^{'} {| > [G : Z (G)]}^{1 / 2}$ .

Kaplan, Gil, Lev, Arieh (2006)

Beiträge zur Algebra und Geometrie

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Recognizability by spectrum of the group $L_{2} (7)$ in the class of all groups.

Lytkina, D.V., Kuznetsov, A.A. (2007)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

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Normal Subgroup of Product of Groups

Hiroyuki Okazaki, Kenichi Arai, Yasunari Shidama (2011)

Formalized Mathematics

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In [6] it was formalized that the direct product of a family of groups gives a new group. In this article, we formalize that for all j ∈ I, the group G = Πi∈IGi has a normal subgroup isomorphic to Gj. Moreover, we show some relations between a family of groups and its direct product.

The Bohr compactification, modulo a metrizable subgroup

W. Comfort, F. Trigos-Arrieta, S. Wu (1993)

Fundamenta Mathematicae

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The authors prove the following result, which generalizes a well-known theorem of I. Glicksberg [G]: If G is a locally compact Abelian group with Bohr compactification bG, and if N is a closed metrizable subgroup of bG, then every A ⊆ G satisfies: A·(N ∩ G) is compact in G if and only if {aN:a ∈ A} is compact in bG/N. Examples are given to show: (a) the asserted equivalence can fail in the absence of the metrizability hypothesis, even when N ∩ G = {1}; (b) the asserted equivalence can...