dc.contributor.author |
Caprace, Pierre‐Emmanuel |
|
dc.contributor.author |
Conder, Marston |
|
dc.contributor.author |
Kaluba, Marek |
|
dc.contributor.author |
Witzel, Stefan |
|
dc.date.accessioned |
2022-09-19T00:11:23Z |
|
dc.date.available |
2022-09-19T00:11:23Z |
|
dc.date.issued |
2022-08-05 |
|
dc.identifier.citation |
(2022). Journal of London Mathematical Society. |
|
dc.identifier.issn |
0024-6107 |
|
dc.identifier.uri |
https://hdl.handle.net/2292/61311 |
|
dc.description.abstract |
We construct several series of explicit presentations of infinite hyperbolic groups enjoying Kazhdan's property (T). Some of them are significantly shorter than the previously known shortest examples. Moreover, we show that some of those hyperbolic Kazhdan groups possess finite simple quotient groups of arbitrarily large rank; they constitute the first-known specimens combining those properties. All the hyperbolic groups we consider are non-positively curved (Formula presented.) -fold generalized triangle groups, that is, groups that possess a simplicial action on a CAT(0) triangle complex, which is sharply transitive on the set of triangles, and such that edge-stabilizers are cyclic of order (Formula presented.). |
|
dc.language |
en |
|
dc.publisher |
Wiley |
|
dc.relation.ispartofseries |
Journal of the London Mathematical Society |
|
dc.rights |
Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. |
|
dc.rights.uri |
https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm |
|
dc.rights.uri |
https://creativecommons.org/licenses/by-nc/4.0/ |
|
dc.subject |
0101 Pure Mathematics |
|
dc.title |
Hyperbolic generalized triangle groups, property (T) and finite simple quotients |
|
dc.type |
Journal Article |
|
dc.identifier.doi |
10.1112/jlms.12668 |
|
dc.date.updated |
2022-08-27T06:42:58Z |
|
dc.rights.holder |
Copyright: The authors |
en |
pubs.publication-status |
Published online |
|
dc.rights.accessrights |
http://purl.org/eprint/accessRights/OpenAccess |
en |
pubs.subtype |
Journal Article |
|
pubs.elements-id |
916640 |
|
pubs.org-id |
Science |
|
pubs.org-id |
Mathematics |
|
dc.identifier.eissn |
1469-7750 |
|
pubs.record-created-at-source-date |
2022-08-27 |
|
pubs.online-publication-date |
2022-08-05 |
|