Journal article

Asymptotic cones and polynomial isoperimetric inequalities

Abstract:: Let Γ be a finitely presented group. We consider the relationship between the complexity of the word problem in Γ and the topology of asymptotic cones Cone ω Γ. We prove that there exist groups Γ which satisfy a polynomial isoperimetric inequality but do not have simply connected asymptotic cones. © 1999 Elsevier Science Ltd. All rights reserved.

Publication status:: Published

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APA Style

Bridson, M. (1999). Asymptotic cones and polynomial isoperimetric inequalities. TOPOLOGY, 38(3), 543–554.

MLA Style

Bridson, M. “Asymptotic Cones and Polynomial Isoperimetric Inequalities.” TOPOLOGY, vol. 38, no. 3, 1999, pp. 543–54.

Chicago Style

Bridson, M. 1999. “Asymptotic Cones and Polynomial Isoperimetric Inequalities.” TOPOLOGY 38 (3): 543–54.
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Publisher copy:: 10.1016/S0040-9383(98)00032-9

Authors

+ Bridson, M More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

Journal:: TOPOLOGY More from this journal
Volume:: 38
Issue:: 3
Pages:: 543-554
Publication date:: 1999-05-01
DOI:: 10.1016/S0040-9383(98)00032-9
ISSN:: 0040-9383

Language:: English
Pubs id:: pubs:6314
UUID:: uuid:0fff43a4-edca-477b-ac5c-4b0e7ce3acd8
Local pid:: pubs:6314
Source identifiers:: 6314
Deposit date:: 2012-12-19

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Copyright date:: 1999

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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