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02007aam a2200349 i 4500 001 4D75CB54328C11EEBDD4A74441ECA4DB 003 SILO 005 20230804010037 008 220730t20232023enk b 001 0 eng 010 $a 2022022858 020 $a 1108832032 020 $a 9781108832038 035 $a (OCoLC)1343298881 040 $a LBSOR/DLC $b eng $e rda $c DLC $d OCLCF $d YDX $d BNG $d SILO 042 $a pcc 050 00 $a QA174.2 S349 2023 084 $a MAT022000 $2 bisacsh 100 1 $a Schwermer, Joachim, $e author. 245 10 $a Reduction theory and arithmetic groups / $c Joachim Schwermer. 264 1 $a Cambridge ; $b Cambridge University Press, $c 2023. 300 $a xiii, 360 pages : $b illustrations ; $c 25 cm. 490 1 $a New mathematical monographs ; $v 45 504 $a Includes bibliographical references and index. 505 0 $a Modules, lattices, and orders -- The general linear group over rings -- A menagerie of examples -- a historical perspective -- Arithmetic groups -- Arithmetically defined Kleinian groups and hyperbolic 3-space -- Lattices -- reduction theory for GL -- Reduction theory and (semi)-stable lattices -- Arithmetic groups in algebraic k-groups -- Arithmetic groups, ambient lie groups, and related geometric objects -- Geometric cycles -- Geometric cycles via rational automorphisms -- Reduction theory for adelic coset spaces. 520 $a "Filling a gap in the literature, this text gives a solid, rigorous foundation in the subject of the arithmetic of algebraic groups and reduction theory. It follows different developments in this area, geometric as well as number theoretical, at a level suitable for graduate students and researchers in related fields"-- $c Provided by publisher. 650 0 $a Arithmetic groups. 650 0 $a Number theory. 830 0 $a New mathematical monographs ; $v 45. 941 $a 1 952 $l USUX851 $d 20230907010722.0 956 $a http://locator.silo.lib.ia.us/search.cgi?index_0=id&term_0=4D75CB54328C11EEBDD4A74441ECA4DB 994 $a C0 $b IWAInitiate Another SILO Locator Search