Finitary power semigroups of infinite groups are not finitely generated

P Gallagher; Nikola Ruskuc

doi:10.1112/S0024609304004175

Finitary power semigroups of infinite groups are not finitely generated

Research output: Contribution to journal › Article › peer-review

Abstract

For a sernigroup S, the finitary power semigroup of S, denoted P-f (S), consists of all finite subsets of S under the usual multiplication. The main result of this paper asserts that Pf (G) is not finitely generated for any infinite group G.

Original language	English
Pages (from-to)	386-390
Number of pages	5
Journal	Bulletin of the London Mathematical Society
Volume	37
Issue number	3
DOIs	https://doi.org/10.1112/S0024609304004175
Publication status	Published - Jun 2005

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10.1112/S0024609304004175

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title = "Finitary power semigroups of infinite groups are not finitely generated",

abstract = "For a sernigroup S, the finitary power semigroup of S, denoted P-f (S), consists of all finite subsets of S under the usual multiplication. The main result of this paper asserts that Pf (G) is not finitely generated for any infinite group G.",

author = "P Gallagher and Nikola Ruskuc",

note = "Gallagher was a Ph.D. student of Ruskuc",

year = "2005",

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AU - Gallagher, P

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Y1 - 2005/6

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AB - For a sernigroup S, the finitary power semigroup of S, denoted P-f (S), consists of all finite subsets of S under the usual multiplication. The main result of this paper asserts that Pf (G) is not finitely generated for any infinite group G.

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U2 - 10.1112/S0024609304004175

DO - 10.1112/S0024609304004175

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VL - 37

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EP - 390

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

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Finitary power semigroups of infinite groups are not finitely generated

Abstract

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EP/C523229/1: Multidisciplinary Critical Mass in Computational Algebra and Applications

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Finitary power semigroups of infinite groups are not finitely generated

Abstract

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EP/C523229/1: Multidisciplinary Critical Mass in Computational Algebra and Applications

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