Lecture Notes in Mathematics

Kiechle, Hubert

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.

Details

Published by: Springer

Publication Date: 2002-03-25

Format: Paperback

ISBN-13: 9783540432623

DOI: 10.1007/b83276

Dimensions: 235cm x155cm

Pages: 186