Skip to main content Accessibility help
×
Hostname: page-component-848d4c4894-r5zm4 Total loading time: 0 Render date: 2024-06-25T14:34:00.737Z Has data issue: false hasContentIssue false

A hyperbolic group with a finitely presented subgroup that is not of type FP3

Published online by Cambridge University Press:  11 October 2017

Peter H. Kropholler
Affiliation:
University of Southampton
Ian J. Leary
Affiliation:
University of Southampton
Conchita Martínez-Pérez
Affiliation:
Universidad de Zaragoza
Brita E. A. Nucinkis
Affiliation:
Royal Holloway, University of London
Get access

Summary

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2017

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] J., Alonso, ‘Finiteness conditions on Groups and Quasi-isometries.’, Journal of Pure and Applied Algebra 95 (1994) 121-129CrossRefGoogle Scholar
[2] M., Bestvina and N., Brady, ‘Morse theory and finiteness properties of groups’, Invent Math. 129 (1997) 445-40.CrossRefGoogle Scholar
[3] N., Brady, ‘Branched coverings of cubical complexes and subgroups of Hyperbolic groups’, J. London Math. Soc. (2) 60 (1999) 461-480CrossRefGoogle Scholar
[4] M.R., Bridson, ‘On the existence of flat planes in spaces of nonpositive curvature’, Proc. Amer Math. Soc. 123 (1995) 223-235.Google Scholar
[5] M.R., Bridson and A. Haefliger Metric spaces of non-positive curvature, Springer-Verlag, Berlin, 1999.
[6] K., Brown, Cohomology of groups, Graduate Texts in Mathematics 87 (Springer, New York, 1982).
[7] M., Davis, ‘Nonpositive curvature and reflection groups’, Proceedings of the Eleventh Annual Workshop in Geometric Group Theory, Park City, Utah (1994).
[8] M., Davis, ‘The Geometry and Topology of Coxeter groups’, Princeton University press, 2008.
[9] R., Geoghegan, ‘Topological Methods in Group Theory’, Graduate Texts in Mathematics (Volume 243, Springer 2008)
[10] M., Gromov, ‘Hyperbolic groups’, Essays in group theory, Mathematical Sciences Research Institute Publications 8 (ed S.M., Gersten, Spriger, New York, 1987).
[11] E., Rips, ‘Subgroups of small cancellation groups’, Bull. London Math. Soc. 14 (1982) 45-47.CrossRefGoogle Scholar
[12] C.T.C., Wall, ‘Finiteness Conditions for C.W. Complexes’, The Annals of Mathematics, 2nd Ser., Vol 81, No. 1. (Jan., 1965), 56-69.Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×