Theory of K-Loops
by Hubert Kiechle
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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Loops (Group theory), Group theory, Mathematics| Edition | Availability |
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| July 18, 2025 | Edited by MARC Bot | import existing book |
| February 25, 2022 | Edited by ImportBot | import existing book |
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| December 11, 2009 | Created by WorkBot | add works page |