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theory of k-loops (in English)
Kiechle (Author)
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theory of k-loops (in English) - kiechle
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Synopsis "theory of k-loops (in English)"
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 authors 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 book is written in English.
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