The Dehn function of Stallings' group

Will Dison; Murray Elder; Timothy R. Riley; Robert Young

doi:10.1007/s00039-009-0011-9

The Dehn function of Stallings' group

Will Dison, Murray Elder, Timothy R. Riley, Robert Young

Mathematics

Research output: Contribution to journal › Article

Abstract

We prove that the Dehn function of a group of Stallings that is finitely presented but not of type F₃ is quadratic.

Original language	English (US)
Pages (from-to)	406-422
Number of pages	17
Journal	Geometric and Functional Analysis
Volume	19
Issue number	2
DOIs	https://doi.org/10.1007/s00039-009-0011-9
State	Published - Sep 2009

Keywords

Dehn function
Finiteness properties
Isoperimetric function
Stallings' group

ASJC Scopus subject areas

Analysis
Geometry and Topology

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10.1007/s00039-009-0011-9

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title = "The Dehn function of Stallings' group",

abstract = "We prove that the Dehn function of a group of Stallings that is finitely presented but not of type F3 is quadratic.",

keywords = "Dehn function, Finiteness properties, Isoperimetric function, Stallings' group",

author = "Will Dison and Murray Elder and Riley, {Timothy R.} and Robert Young",

year = "2009",

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doi = "10.1007/s00039-009-0011-9",

language = "English (US)",

volume = "19",

pages = "406--422",

journal = "Geometric and Functional Analysis",

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AU - Elder, Murray

AU - Riley, Timothy R.

AU - Young, Robert

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KW - Isoperimetric function

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