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Overview0 Basic Facts.- 1 Hey's Theorem and Consequences.- 2 Siegel-Weyl Reduction Theory.- 3 The Tamagawa Number and the Volume of G(?)/G(?).- 3.1 Statement of the main result.- 3.2 Proof of 3.1.- 3.3 The volume of G(?)/G(?).- 4 The Size of ?.- 4.1 Statement of results.- 4.2 Proofs.- 5 Margulis' Finiteness Theorem.- 5.1 The Result.- 5.2 Amenable groups.- 5.3 Kazhdan's property (T).- 5.4 Proof of 5.1; beginning.- 5.5 Interlude: parabolics and their opposites.- 5.6 Continuation of the proof.- 5.7 Contracting automorphisms and the Moore Ergodicity theorem.- 5.8 End of proof.- 5.9 Appendix on measure theory.- 6 A Zariski Dense and a Free Subgroup of ?.- 7 An Example.- 8 Problems.- 8.1 Generators.- 8.2 The congruence problem.- 8.3 Betti numbers.- References. Full Product DetailsAuthor: Ernst KleinertPublisher: Birkhauser Verlag AG Imprint: Birkhauser Verlag AG Volume: v. 186 Dimensions: Width: 15.50cm , Height: 1.20cm , Length: 23.50cm Weight: 0.295kg ISBN: 9783764362935ISBN 10: 3764362936 Pages: 88 Publication Date: April 2000 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Out of Stock Indefinitely Availability: Awaiting stock  Table of ContentsBasic facts; Hey's theorem and consequences; Siegel-Weyl reduction theory; the Tamagawa number and the volume of G (R)/G(Z); the size of T; Margulis' finiteness theorem; a Zariski dense and a free subgroup of T; an example; problems.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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