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Author: Paul-Hermann Zieschang Publisher: Springer Science & Business Media ISBN: 9783540261360 Category : Mathematics Languages : en Pages : 314
Book Description
This book is a concept-oriented treatment of the structure theory of association schemes. The generalization of Sylow’s group theoretic theorems to scheme theory arises as a consequence of arithmetical considerations about quotient schemes. The theory of Coxeter schemes (equivalent to the theory of buildings) emerges naturally and yields a purely algebraic proof of Tits’ main theorem on buildings of spherical type.
Author: Paul-Hermann Zieschang Publisher: Springer Science & Business Media ISBN: 9783540261360 Category : Mathematics Languages : en Pages : 314
Book Description
This book is a concept-oriented treatment of the structure theory of association schemes. The generalization of Sylow’s group theoretic theorems to scheme theory arises as a consequence of arithmetical considerations about quotient schemes. The theory of Coxeter schemes (equivalent to the theory of buildings) emerges naturally and yields a purely algebraic proof of Tits’ main theorem on buildings of spherical type.
Author: Paul-Hermann Zieschang Publisher: Springer Science & Business Media ISBN: 3540305939 Category : Mathematics Languages : en Pages : 295
Book Description
This book is a concept-oriented treatment of the structure theory of association schemes. The generalization of Sylow’s group theoretic theorems to scheme theory arises as a consequence of arithmetical considerations about quotient schemes. The theory of Coxeter schemes (equivalent to the theory of buildings) emerges naturally and yields a purely algebraic proof of Tits’ main theorem on buildings of spherical type.
Author: Paul-Hermann Zieschang Publisher: Springer ISBN: 3540685235 Category : Mathematics Languages : en Pages : 201
Book Description
The primary object of the lecture notes is to develop a treatment of association schemes analogous to that which has been so successful in the theory of finite groups. The main chapters are decomposition theory, representation theory, and the theory of generators. Tits buildings come into play when the theory of generators is developed. Here, the buildings play the role which, in group theory, is played by the Coxeter groups. - The text is intended for students as well as for researchers in algebra, in particular in algebraic combinatorics.
Author: R. A. Bailey Publisher: Cambridge University Press ISBN: 9781139449939 Category : Mathematics Languages : en Pages : 410
Book Description
Association schemes are of interest to both mathematicians and statisticians and this book was written with both audiences in mind. For statisticians, it shows how to construct designs for experiments in blocks, how to compare such designs, and how to analyse data from them. The reader is only assumed to know very basic abstract algebra. For pure mathematicians, it tells why association schemes are important and develops the theory to the level of advanced research. This book arose from a course successfully taught by the author and as such the material is thoroughly class-tested. There are a great number of examples and exercises that will increase the book's appeal to both graduate students and their instructors. It is ideal for those coming either from pure mathematics or statistics backgrounds who wish to develop their understanding of association schemes.
Author: Eiichi Bannai Publisher: Walter de Gruyter GmbH & Co KG ISBN: 3110627736 Category : Mathematics Languages : en Pages : 303
Book Description
This series is devoted to the publication of high-level monographs which cover the whole spectrum of current discrete mathematics and its applications in various fields. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of discrete mathematics. Contributions which are on the borderline of discrete mathematics and related fields and which stimulate further research at the crossroads of these areas are particularly welcome.
Author: Paul-Hermann Zieschang
Author: Paul-Hermann Zieschang
Author: Paul-Hermann Zieschang
Author: Heiner Zieschang
Author: Paul-Hermann Zieschang
Author: Juby Jacob
Author: R. A. Bailey
Author: Eiichi Bannai
Author: C. D. (Christopher David) Godsil
Author: Kulakkatt SankunnyNair Vijayan
Author: R.L. Graham