E-Book, Englisch, Band 1778, 186 Seiten, eBook
Reihe: Lecture Notes in Mathematics
Kiechle Theory of K-Loops
Erscheinungsjahr 2004
ISBN: 978-3-540-45817-3
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 1778, 186 Seiten, eBook
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-45817-3
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
The book contains the first systematic exposition of the current known theory of K-loops, as well as some new material. In particular, big classes of examples are constructed. The theory for sharply 2-transitive groups is generalized to the theory of Frobenius groups with many involutions. A detailed discussion of the relativistic velocity addition based on the author's construction of K-loops from classical groups is also included. The first chapters of the book can be used as a text, the later chapters are research notes, and only partially suitable for the classroom. The style is concise, but complete proofs are given. The prerequisites are a basic knowledge of algebra such as groups, fields, and vector spaces with forms.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
Introduction.- Preliminaries.- Left Loops and Transversals.- The Left Inverse Property and Kikkawa Loops.- Isotopy Theory.- Nuclei and the Autotopism Group.- Bol Loops and K-Loops.- Frobenius Ggroups with Mmany Involutions.- Loops with Fibrations.- K-Loops from Classical Groups over Ordered Fields.- Relativistic Velocity Addition.- K-Loops from the General Linear Groups over Rings.- Derivations.
