The Dehn function of Baumslag's Metabelian Group
The Dehn function of Baumslag's Metabelian Group
Baumslag's group is a finitely presented metabelian group with a Z \wr Z subgroup. There is an analogue with an additional torsion relation in which this subgroup becomes C_m \wr Z. We prove that Baumslag's group has an exponential Dehn function. This contrasts with the torsion analogues which have quadratic Dehn functions
Kassabov, Martin
b78efbac-c468-4838-ac56-5f23181f595c
Riley, Tim
869bd3c0-da28-44a8-8516-f147cd9e483d
Kassabov, Martin
b78efbac-c468-4838-ac56-5f23181f595c
Riley, Tim
869bd3c0-da28-44a8-8516-f147cd9e483d
Kassabov, Martin and Riley, Tim
(2010)
The Dehn function of Baumslag's Metabelian Group.
Preprint.
Abstract
Baumslag's group is a finitely presented metabelian group with a Z \wr Z subgroup. There is an analogue with an additional torsion relation in which this subgroup becomes C_m \wr Z. We prove that Baumslag's group has an exponential Dehn function. This contrasts with the torsion analogues which have quadratic Dehn functions
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e-pub ahead of print date: 11 August 2010
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Local EPrints ID: 183839
URI: http://eprints.soton.ac.uk/id/eprint/183839
PURE UUID: 096025d5-5352-41d9-989a-5e427afa2ba2
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Date deposited: 04 May 2011 11:15
Last modified: 10 Dec 2021 19:08
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Author:
Martin Kassabov
Author:
Tim Riley
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