Theory of K-Loops

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  • Theory of K-Loops Book Detail

  • Author : Hubert Kiechle
  • Release Date : 2004-10-12
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 200
  • ISBN 13 : 3540458174
  • File Size : 99,99 MB

Theory of K-Loops by Hubert Kiechle PDF Summary

Book 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.

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