Theory of K-Loops

• Main Author: Kiechle, Hubert (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002.
• Edition: 1st ed. 2002.
• Series: Lecture Notes in Mathematics, 1778
• Subjects: Group theory.; Group Theory and Generalizations.

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...

Table of Contents:

• 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.