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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. 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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"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 source of constructions for researchers of the theory of non-associative structures. Also, thanks to the didactic presentation, I can also recommend it for motivated graduate students and university teachers." (Gabor P. Nagy, Acta Scientiarum Mathematicarum, Vol. 71, 2005)
"This book, which is based on the author’s habilitation thesis, is about a class of loops which have been intensively studied in the last decade and a half or so. ... This book is a guide and reference to K-loops, especially to the work of Karzel’s students and followers. It is also a good source for the relationship between K-loops and other varieties of loops. ... The book is quite readable and is certainly something that everyone working on these loops will find quite useful." (Michael K. Kinyon, Mathematical Reviews, Issue 2003 d)
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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. 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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Theory of K-loops. Lecture notes in mathematics; Bd. 1778.
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Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03146 9783540432623 Sprache: Englisch Gewicht in Gramm: 550. Bestandsnummer des Verkäufers 2489045
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Theory of K-Loops (Lecture Notes in Mathematics, Band 1778).
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Broschur, 8°. Zustand: Gut. 2002. 204 S. Das Buch ist in gutem, sauberen Zustand. Ecken und Kanten leicht bestossen. Sonst sauberes und wohlerhaltenes Exemplar. -----Inhalt:. 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. From the 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 ISBN: 9783540432623 Wir senden umgehend mit beiliegender MwSt.Rechnung. Sprache: Englisch Gewicht in Gramm: 318. Bestandsnummer des Verkäufers 668865
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Theory of K-Loops
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Theory of K-Loops (Lecture Notes in Mathematics, 1778)
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Theory of K-Loops (Paperback)
ISBN 10: 3540432620
ISBN 13: 9783540432623
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Paperback. Zustand: new. Paperback. 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. 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 Frobenius groups with many involutions. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verkäufers 9783540432623
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Theory of K-Loops (Lecture Notes in Mathematics, 1778)
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Theory of K-Loops
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Theory of K-Loops
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Theory of K-Loops
Verlag:
Springer Berlin Heidelberg Mrz 2002, 2002
ISBN 10: 3540432620
ISBN 13: 9783540432623
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Taschenbuch
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 204 pp. Englisch. Bestandsnummer des Verkäufers 9783540432623
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Theory of K-Loops
Verlag:
Springer Berlin Heidelberg, 2002
ISBN 10: 3540432620
ISBN 13: 9783540432623
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Kartoniert / Broschiert. Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Includes supplementary material: sn.pub/extrasThe 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. Bestandsnummer des Verkäufers 4890348
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