Theory of association schemes
著者
書誌事項
Theory of association schemes
（Springer monographs in mathematics）
Springer, c2005
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注記
Includes bibliographical references (p. [277]-279) and index
内容説明・目次
内容説明
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.
目次
Basic Facts.- Closed Subsets.- Generating Subsets.- Quotient Schemes.- Morphisms.- Faithful Maps.- Products.- From Thin Schemes to Modules.- Scheme Rings.- Dihedral Closed Subsets.- Coxeter Sets.- Spherical Coxeter Sets.
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