dc.contributor.author |
Conder, Marston |
en |
dc.contributor.author |
Hucíková, V |
en |
dc.contributor.author |
Nedela, R |
en |
dc.contributor.author |
Širáň, J |
en |
dc.date.accessioned |
2016-08-02T04:33:35Z |
en |
dc.date.issued |
2016 |
en |
dc.identifier.citation |
Bulletin of the London Mathematical Society, 2016, 48 (1). pp. 38 - 52 |
en |
dc.identifier.issn |
0024-6093 |
en |
dc.identifier.uri |
http://hdl.handle.net/2292/29752 |
en |
dc.description.abstract |
We prove the existence of infinitely many orientably-regular but chiral maps of every given hyperbolic type {m,k} {m,k} , by constructing base examples from suitable permutation representations of the ordinary (2,k,m) (2,k,m) triangle group, and then taking abelian p p -covers. The base examples also help to prove that for every pair (k,m) (k,m) of integers with 1/k+1/m≤1/2 1/k+1/m≤1/2 , there exist infinitely many regular and infinitely many orientably-regular but chiral maps of type {m,k} {m,k} , each with the property that both the map and its dual have simple underlying graph. |
en |
dc.description.uri |
https://www.lms.ac.uk/publications/blms |
en |
dc.publisher |
London Mathematical Society |
en |
dc.relation.ispartofseries |
Bulletin of the London Mathematical Society |
en |
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. Details obtained from http://www.sherpa.ac.uk/romeo/issn/0024-6093/ |
en |
dc.rights.uri |
https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm |
en |
dc.title |
Chiral maps of given hyperbolic type |
en |
dc.type |
Journal Article |
en |
dc.identifier.doi |
10.1112/blms/bdv086 |
en |
pubs.issue |
1 |
en |
pubs.begin-page |
38 |
en |
pubs.volume |
48 |
en |
dc.description.version |
AM - Accepted Manuscript |
en |
dc.rights.holder |
Copyright: London Mathematical Society |
en |
pubs.author-url |
http://blms.oxfordjournals.org/content/48/1/38.short?rss=1 |
en |
pubs.end-page |
52 |
en |
pubs.publication-status |
Published |
en |
dc.rights.accessrights |
http://purl.org/eprint/accessRights/OpenAccess |
en |
pubs.subtype |
Article |
en |
pubs.elements-id |
524657 |
en |
pubs.org-id |
Science |
en |
pubs.org-id |
Mathematics |
en |
dc.identifier.eissn |
1469-2120 |
en |
pubs.record-created-at-source-date |
2016-08-02 |
en |