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dc.creatorChinburg, T
dc.creatorFriedlander, H
dc.creatorHowe, S
dc.creatorKosters, M
dc.creatorSingh, B
dc.creatorStover, M
dc.creatorZhang, Y
dc.creatorZiegler, P
dc.date.accessioned2021-02-03T18:19:34Z
dc.date.available2021-02-03T18:19:34Z
dc.date.issued2015-01-01
dc.identifier.issn1058-6458
dc.identifier.issn1944-950X
dc.identifier.doihttp://dx.doi.org/10.34944/dspace/5815
dc.identifier.otherCJ2WG (isidoc)
dc.identifier.urihttp://hdl.handle.net/20.500.12613/5833
dc.description.abstract© 2015 Taylor and Francis Group, LLC. We give an algorithm for presenting S-unit groups of an order in a definite rational quaternion algebra B such that for every p S at which B splits, the localization of at p is maximal, and all left ideals of of norm p are principal. We then apply this to give presentations for projective S-unit groups of the Hurwitz order in Hamiltons quaternions over the rational field. To our knowledge, this provides the first explicit presentations of an S-arithmetic lattice in a semisimple Lie group with S large. We also include some discussion and experimentation related to the congruence subgroup problem, which is open for S-units of the Hurwitz order when S contains at least two odd primes.
dc.format.extent175-182
dc.language.isoen
dc.relation.haspartExperimental Mathematics
dc.relation.isreferencedbyInforma UK Limited
dc.subjectS-unit groups
dc.subjectS-arithmetic lattices
dc.subjectpresentations for S-arithmetic lattices
dc.subjectHurwitz order
dc.subjectcongruence subgroup problem
dc.titlePresentations for quaternionic S-unit groups
dc.typeArticle
dc.type.genreJournal Article
dc.relation.doi10.1080/10586458.2014.968269
dc.ada.noteFor Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu
dc.date.updated2021-02-03T18:19:32Z
refterms.dateFOA2021-02-03T18:19:35Z


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