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.
| Author: Hubert Kiechle |
| Publisher: Springer |
| Publication Date: Mar 25, 2002 |
| Number of Pages: 186 pages |
| Binding: Paperback or Softback |
| ISBN-10: 3540432620 |
| ISBN-13: 9783540432623 |
