Sigma-Amenable Locally Compact Groups

Name: Sigma-Amenable Locally Compact Groups
Creator: Jenkins, J. W.
Keywords: 4. Education, Means on groups, semigroups, etc.; amenable groups, General properties and structure of locally compact groups, 0101 mathematics, 01 natural sciences

Jenkins, J. W.

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Proceedings of the American Mathematical Society

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Proceedings of the American Mathematical Society

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Article . 1971

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Proceedings of the American Mathematical Society

Article . 1971 . Peer-reviewed

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Proceedings of the American Mathematical Society

Article . 1971 . Peer-reviewed

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https://dx.doi.org/10.1090/s00...

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Sigma-Amenable Locally Compact Groups

Sigma-amenable locally compact groups

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1971Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 28, page 621 (issn: 0002-9939,

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Authors: Jenkins, J. W.;

doi: 10.2307/2038024 , 10.1090/s0002-9939-1971-0279230-x

Sigma-Amenable Locally Compact Groups

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Abstract

Let G G denote a locally compact group and σ ( G ) \sigma (G) the semigroup of nonempty compact subsets of G G . The combinatorial properties of the family of all groups G G for which σ ( G ) \sigma (G) is amenable is studied. The relationship between amenability of G G and amenability of σ ( G ) \sigma (G) is also investigated.

Keywords

Means on groups, semigroups, etc.; amenable groups, General properties and structure of locally compact groups

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