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dc.contributor.authorRahm, Alexander D.
dc.date.accessioned2014-01-31T16:53:33Z
dc.date.available2014-01-31T16:53:33Z
dc.date.issued2013-09
dc.identifier.citationRahm, AD (2013) 'Higher torsion in the Abelianization of the full Bianchi groups'. Lms Journal Of Computation And Mathematics, 16 :344-365.en_US
dc.identifier.issn1461-1570
dc.identifier.urihttp://hdl.handle.net/10379/4123
dc.descriptionJournal articleen_US
dc.description.abstractDenote by Q(root-m), with m a square-free positive integer, an imaginary quadratic number field, and by O-m its ring of integers. The Bianchi groups are the groups SL2(O-m). In the literature, so far there have been no examples of p-torsion in the integral homology of the full Bianchi groups, for p a prime greater than the order of elements of finite order in the Bianchi group, which is at most 6. However, extending the scope of the computations, we can observe examples of torsion in the integral homology of the quotient space, at prime numbers as high as for instance p = 80 737 at the discriminant -1747.en_US
dc.description.sponsorshipIRCSETen_US
dc.formatapplication/pdfen_US
dc.language.isoenen_US
dc.publisherCambridge University Press (Cambridge Journals Online)en_US
dc.relation.ispartofLms Journal Of Computation And Mathematicsen
dc.subjectImaginary quadratic integersen_US
dc.subjectElliptic curvesen_US
dc.subjectHomologyen_US
dc.subjectPsl2en_US
dc.subjectCohomologyen_US
dc.subjectReductionen_US
dc.titleHigher torsion in the Abelianization of the full Bianchi groupsen_US
dc.typeArticleen_US
dc.date.updated2014-01-10T12:43:12Z
dc.identifier.doiDOI 10.1112/S1461157013000168
dc.local.publishedsourcehttp://dx.doi.org/10.1112/S1461157013000168en_US
dc.description.peer-reviewedpeer-reviewed
dc.contributor.funder|~|
dc.internal.rssid5623900
dc.local.contactAlexander Rahm, School Of Maths, Stats &, Applied Maths,, Nui Galway.. Email: alexander.rahm@nuigalway.ie
dc.local.copyrightcheckedYes
dc.local.versionACCEPTED
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