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Catalogue Information
Field name	Details
Dewey Class	512
Title	Units in Skew Fields ([EBook] /) / by Ernst Kleinert.
Author	Kleinert, Ernst
Other name(s)	SpringerLink (Online service)
Publication	Basel : : Birkhäuser Basel : : Imprint: Birkhäuser, , 2000.
Physical Details	VIII, 80 p. : online resource.
Series	Progress in mathematics 0743-1643 ; ; 186
ISBN	9783034884099
Summary Note	This book is devoted to a study of the unit groups of orders in skew fields, finite dimensional and central over the rational field; it thereby belongs to the field of noncommutative arithmetic. Its purpose is a synopsis of results and methods, including full proofs of the most important results. It is addressed to researchers in number theory and arithmetic groups.:
Contents note	0 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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-0348-8409-9
Links to Related Works	Subject References: Algebra . Mathematics . Authors: Kleinert, Ernst . Corporate Authors: SpringerLink (Online service) . Series: Progress in mathematics . Classification: 512 .

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Units in Skew Fields

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