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.
Reihe
Auflage
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Research
Illustrationen
VIII, 80 p.
references, index
Maße
Höhe: 23.5 cm
Breite: 15.5 cm
Gewicht
ISBN-13
978-3-7643-6293-5 (9783764362935)
DOI
10.1007/978-3-0348-8409-9
Schweitzer Klassifikation
Basic 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.
