Theory of K-Loops
(Sprache: Englisch)
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...
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Klappentext zu „Theory of K-Loops “
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.
Inhaltsverzeichnis zu „Theory of K-Loops “
- 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
Bibliographische Angaben
- Autor: Hubert Kiechle
- 2002, 2002, 186 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer
- ISBN-10: 3540432620
- ISBN-13: 9783540432623
- Erscheinungsdatum: 25.03.2002
Sprache:
Englisch
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