{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T20:54:20Z","timestamp":1648846460486},"reference-count":30,"publisher":"World Scientific Pub Co Pte Lt","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2018,9]]},"abstract":"<jats:p>We construct a torsion-free arithmetic lattice in [Formula: see text] arising from a quaternion algebra over [Formula: see text]. It is the fundamental group of a square complex with universal covering [Formula: see text], a product of trees with constant valency [Formula: see text], which has minimal Euler characteristic. Furthermore, our lattice gives rise to a fake quadric over [Formula: see text] by means of non-archimedean uniformization.<\/jats:p>","DOI":"10.1142\/s0218196718500467","type":"journal-article","created":{"date-parts":[[2018,6,18]],"date-time":"2018-06-18T23:10:00Z","timestamp":1529363400000},"page":"1049-1090","source":"Crossref","is-referenced-by-count":1,"title":["Quaternionic arithmetic lattices of rank 2 and a fake quadric in characteristic 2"],"prefix":"10.1142","volume":"28","author":[{"given":"Nithi","family":"Rungtanapirom","sequence":"first","affiliation":[{"name":"Institut f\u00fcr Mathematik, Goethe-Universit\u00e4t Frankfurt, Robert-Mayer-Str. 6-8, 60325 Frankfurt am Main, Germany"}]}],"member":"219","published-online":{"date-parts":[[2018,9,17]]},"reference":[{"key":"S0218196718500467BIB001","doi-asserted-by":"publisher","DOI":"10.5802\/jtnb.789"},{"key":"S0218196718500467BIB002","doi-asserted-by":"publisher","DOI":"10.4310\/PAMQ.2008.v4.n2.a10"},{"key":"S0218196718500467BIB004","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/522\/10289"},{"key":"S0218196718500467BIB005","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1515\/crll.1998.023","volume":"495","author":"Behr H.","year":"1998","journal-title":"Journal f\u00fcr die reine und angewandte Mathematik"},{"key":"S0218196718500467BIB006","doi-asserted-by":"publisher","DOI":"10.1007\/BF02698916"},{"key":"S0218196718500467BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/0040-9383(76)90037-9"},{"key":"S0218196718500467BIB008","doi-asserted-by":"publisher","DOI":"10.1080\/10586458.2014.968269"},{"key":"S0218196718500467BIB009","doi-asserted-by":"publisher","DOI":"10.1007\/s00208-014-1031-9"},{"key":"S0218196718500467BIB010","doi-asserted-by":"publisher","DOI":"10.1007\/s13348-013-0084-5"},{"key":"S0218196718500467BIB012","first-page":"139","volume":"315","author":"Kirchheimer F.","year":"1980","journal-title":"Mathematik"},{"key":"S0218196718500467BIB013","doi-asserted-by":"publisher","DOI":"10.1007\/BF02126799"},{"key":"S0218196718500467BIB014","author":"Linowitz B.","year":"2015","journal-title":"Fake Quadrics"},{"key":"S0218196718500467BIB015","volume-title":"Ergebnisse der Mathematik und ihrer Grenzgebiete","volume":"17","author":"Margulis G. A.","year":"1991"},{"key":"S0218196718500467BIB016","doi-asserted-by":"publisher","DOI":"10.1006\/jctb.1994.1054"},{"key":"S0218196718500467BIB017","doi-asserted-by":"publisher","DOI":"10.1007\/BF02783216"},{"issue":"2","key":"S0218196718500467BIB018","first-page":"129","volume":"24","author":"Mumford D.","year":"1972","journal-title":"Compositio Mathematica"},{"key":"S0218196718500467BIB019","doi-asserted-by":"publisher","DOI":"10.2307\/2373947"},{"key":"S0218196718500467BIB020","doi-asserted-by":"publisher","DOI":"10.1070\/SM1978v034n02ABEH001156"},{"key":"S0218196718500467BIB021","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-2010-10605-6"},{"key":"S0218196718500467BIB023","doi-asserted-by":"publisher","DOI":"10.1112\/plms\/s3-16.1.635"},{"key":"S0218196718500467BIB024","series-title":"Annals of Mathematics Studies","first-page":"77","volume-title":"Prospects in Mathematics","author":"Serre J.-P.","year":"1970"},{"key":"S0218196718500467BIB025","series-title":"London Mathematical Society Lecture Note Series","first-page":"105","volume-title":"Homological Group Theory","author":"Serre J.-P.","year":"1977"},{"key":"S0218196718500467BIB026","volume-title":"Graduate Texts in Mathematics","volume":"67","author":"Serre J.-P.","year":"1979"},{"key":"S0218196718500467BIB027","series-title":"Springer Monographs in Mathematics","volume-title":"Trees","author":"Serre J.-P.","year":"2003"},{"key":"S0218196718500467BIB028","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.1978.76.221"},{"key":"S0218196718500467BIB029","doi-asserted-by":"publisher","DOI":"10.1017\/S0305004117000056"},{"key":"S0218196718500467BIB030","doi-asserted-by":"publisher","DOI":"10.1016\/0001-8708(71)90027-2"},{"key":"S0218196718500467BIB031","volume-title":"Lecture Notes in Mathematics","author":"Vign\u00e9ras M.-F.","year":"1980"},{"key":"S0218196718500467BIB032","doi-asserted-by":"publisher","DOI":"10.5802\/jtnb.683"},{"key":"S0218196718500467BIB033","doi-asserted-by":"publisher","DOI":"10.4171\/CMH\/107"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196718500467","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,10,19]],"date-time":"2019-10-19T12:47:59Z","timestamp":1571489279000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196718500467"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,9]]},"references-count":30,"journal-issue":{"issue":"06","published-online":{"date-parts":[[2018,9,17]]},"published-print":{"date-parts":[[2018,9]]}},"alternative-id":["10.1142\/S0218196718500467"],"URL":"https:\/\/doi.org\/10.1142\/s0218196718500467","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,9]]}}}