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Theory of K-loops

Author: Hubert Kiechle
Publisher: Berlin [u.a.] : Springer, 2002.
Series: Lecture notes in mathematics, 1778.
Edition/Format:   Print book : EnglishView all editions and formats
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The book contains the first systematic exposition of the current known theory of K-loops, as well as some new material. The theory for sharply 2-transitive groups is generalized to the theory of  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Hubert Kiechle
ISBN: 3540432620 9783540432623
OCLC Number: 248079840
Description: x, 186 S.
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.
Series Title: Lecture notes in mathematics, 1778.
Responsibility: Hubert Kiechle.

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From the reviews:"The approach of this book is based on the foundations of geometry and on group theory ... . The book is self-contained ... . This well written book can serve as a reference and a Read more...

 
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