Theory of K-Loops
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 detaile...
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2002.
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| Edition: | 1st ed. 2002. |
| Series: | Lecture Notes in Mathematics,
1778 |
| Subjects: | |
| Online Access: | Full Text via HEAL-Link |
| Summary: | 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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| Physical Description: | X, 186 p. online resource. |
| ISBN: | 9783540458173 |
| ISSN: | 0075-8434 ; |
| DOI: | 10.1007/b83276 |
