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: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
[2002]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1778. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| 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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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (x, 186 pages) |
| Bibliography: | Includes bibliographical references (pages [171]-180) and index. |
| ISBN: | 9783540458173 (electronic bk.) 3540458174 (electronic bk.) |
| ISSN: | 0075-8434 ; |