Asymptotic cones of finitely generated groups

Simon Thomas; Boban Velickovic

doi:10.1112/S0024609399006621

Asymptotic cones of finitely generated groups

Simon Thomas, Boban Velickovic

School of Arts and Sciences, Mathematics

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

31 Scopus citations

Abstract

Answering a question of Gromov [7], we shall present an example of a ┌ nitely generated group Г and two non-principal ultra A,B lters A;B such that the asymptotic cones Con _A ┌ and Con_B Г are not homeomorphic.

Original language	English (US)
Pages (from-to)	203-208
Number of pages	6
Journal	Bulletin of the London Mathematical Society
Volume	32
Issue number	2
DOIs	https://doi.org/10.1112/S0024609399006621
State	Published - Mar 2000

All Science Journal Classification (ASJC) codes

Mathematics(all)

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title = "Asymptotic cones of finitely generated groups",

abstract = "Answering a question of Gromov [7], we shall present an example of a ┌ nitely generated group Г and two non-principal ultra A,B lters A;B such that the asymptotic cones Con A ┌ and ConB Г are not homeomorphic.",

author = "Simon Thomas and Boban Velickovic",

note = "Funding Information: The research of the rst author was partially supported by NSF grants.",

year = "2000",

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doi = "10.1112/S0024609399006621",

language = "English (US)",

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pages = "203--208",

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AU - Thomas, Simon

AU - Velickovic, Boban

N1 - Funding Information: The research of the rst author was partially supported by NSF grants.

PY - 2000/3

Y1 - 2000/3

N2 - Answering a question of Gromov [7], we shall present an example of a ┌ nitely generated group Г and two non-principal ultra A,B lters A;B such that the asymptotic cones Con A ┌ and ConB Г are not homeomorphic.

AB - Answering a question of Gromov [7], we shall present an example of a ┌ nitely generated group Г and two non-principal ultra A,B lters A;B such that the asymptotic cones Con A ┌ and ConB Г are not homeomorphic.

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JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

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Asymptotic cones of finitely generated groups

Abstract

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