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...
Gorde:
| Egile nagusia: | |
|---|---|
| Formatua: | Livre numérique |
| Hizkuntza: | Anglais |
| Argitaratua: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Saila: | Lecture notes in mathematics
1778 |
| Gaiak: | |
| Sarrera elektronikoa: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Oharra: |
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 |
| LEADER | 03124nam a22003857a 4500 | ||
|---|---|---|---|
| 001 | 972161 | ||
| 008 | 110927q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN155219367 | ||
| 020 | |a 9783540458173 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 512.2 | ||
| 082 | |a 510 | ||
| 100 | 1 | |a Kiechle, Hubert, |d 1960- | |
| 245 | 1 | 0 | |a Theory of K-Loops |c Hubert Kiechle. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1778 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Lacets (théorie des groupes) | ||
| 650 | |a Quasigroupes | ||
| 650 | |a Mathématiques | ||
| 650 | |a Groupes, Théorie des | ||
| 776 | 0 | |0 078892910 |t Theory of K-loops |f Hubert Kiechle |d 2002 |c Berlin |n Springer |p 1 vol. (X-186 p.) |s Lecture notes in mathematics |z 3-540-43262-0 | |
| 776 | 0 | |t Theory of K-Loops |b Texte imprimé |z 9783662184356 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/b83276 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-P4P6H20S-P |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750644621 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/b83276 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753995654 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/b83276 |z Accès INSA CVL | |
| 997 | |0 972161 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||