Theory of K-Loops
Edition: 1 edition
Publisher: Springer
Published: May 3, 2002
Language: eng
Format: Paperback
Number of pages: 196
ISBN-13: 9783540432623
Subjects: Groups & group theory; Theory Of Groups; Mathematics; Science/Mathematics; General; Group Theory; Bol loops; Frobenius groups with many Involutions; K-loop; Kikkawa loops; Mathematics / Group Theory; Medical : General; Loops (Group theory)
Description: 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.