Minimal almost convexity

Elder, M; Hermiller, S

Minimal almost convexity

Elder, M

Hermiller, S

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Publication Type:: Journal Article
Citation:: Journal of Group Theory, 2005, 8 (2), pp. 239 - 266
Issue Date:: 2005-01-01

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Field	Value	Language
dc.contributor.author	Elder, M https://orcid.org/0000-0002-2438-3945	en_US
dc.contributor.author	Hermiller, S	en_US
dc.date.issued	2005-01-01	en_US
dc.identifier.citation	Journal of Group Theory, 2005, 8 (2), pp. 239 - 266	en_US
dc.identifier.issn	1433-5883	en_US
dc.identifier.uri	http://hdl.handle.net/10453/98845
dc.description.abstract	In this article we show that the Baumslag-Solitar group BS(1,2) is minimally almost convex, or MAC. We also show that BS(1,2) does not satisfy Poénaru's almost convexity condition P(2), and hence the condition P(2) is strictly stronger than MAC. Finally, we show that the groups BS(1,q) for q ≥ 7 and Stallings' non-FP3 group do not satisfy MAC. As a consequence, the condition MAC is not a commensurability invariant. © de Gruyter 2005.	en_US
dc.relation.ispartof	Journal of Group Theory	en_US
dc.relation.isbasedon	10.1515/jgth.2005.8.2.239	en_US
dc.subject.classification	General Mathematics	en_US
dc.title	Minimal almost convexity	en_US
dc.type	Journal Article
utslib.citation.volume	2	en_US
utslib.citation.volume	8	en_US
utslib.for	0101 Pure Mathematics	en_US
utslib.for	0802 Computation Theory and Mathematics	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Science
pubs.organisational-group	/University of Technology Sydney/Faculty of Science/School of Mathematical and Physical Sciences
utslib.copyright.status	open_access
pubs.issue	2	en_US
pubs.publication-status	Published	en_US
pubs.volume	8	en_US

Abstract:

In this article we show that the Baumslag-Solitar group BS(1,2) is minimally almost convex, or MAC. We also show that BS(1,2) does not satisfy Poénaru's almost convexity condition P(2), and hence the condition P(2) is strictly stronger than MAC. Finally, we show that the groups BS(1,q) for q ≥ 7 and Stallings' non-FP3 group do not satisfy MAC. As a consequence, the condition MAC is not a commensurability invariant. © de Gruyter 2005.

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http://hdl.handle.net/10453/98845