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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| Glavni autor: | |
|---|---|
| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serija: | Lecture notes in mathematics
1778 |
| Teme: | |
| Online pristup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Bilješka: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Theory of K-loops, Hubert Kiechle, 2002, Berlin, Springer, 1 vol. (X-186 p.), Lecture notes in mathematics, 3-540-43262-0 • Theory of K-Loops, Texte imprimé, 9783662184356 |
Sadržaj:
- Introduction
- Preliminaries
- Left Loops and Transversals
- The Left Inverse Property and Kikkawa Loops
- Isotopy Theory
- Nuclei and the Autotopism Group
- Bol Loops and K-Loops
- Frobenius Ggroups with Mmany Involutions
- Loops with Fibrations
- K-Loops from Classical Groups over Ordered Fields
- Relativistic Velocity Addition
- K-Loops from the General Linear Groups over Rings
- Derivations.