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Theory of K-Loops

Theory of K-Loops

Paperback

Series: Lecture Notes in Mathematics, Book 1778

Medical ReferenceAlgebraGeneral Mathematics

ISBN10: 3540432620
ISBN13: 9783540432623
Publisher: Springer
Published: Mar 25 2002
Pages: 186
Weight: 0.64
Height: 0.43 Width: 6.14 Depth: 9.21
Language: English
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.

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