ENGLISH

Theory of K-Loops

By Hubert Kiechle (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2002
ISBN
3540432620, 9783540432623
DOI
10.1007/b83276
ISSN
0075-8434
Open Library ID
OL12775114M
Language
english
Format
PDF
Filesize
812 kB (831593 bytes)
Series
Lecture Notes in Mathematics 1778
Edition
1
Pages
186\195
Library
Kolxo3
Scanned
yes
Time added
2009-07-20 03:45:11
Group Theory and Generalizations

Description

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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