Overview

Theory of Association Schemes is the first concept-oriented treatment of the structure theory of association schemes. It contains several recent results which appear for the first time in book form. 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. Also a scheme-theoretic characterization of Glauberman 's Z*-involutions is included. The text is self-contained and accessible for advanced undergraduate students.

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9783540811435

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<p>From the reviews: <p> Theory of association schemes is a self-contained textbook. The theory of association schemes can be applied to Hecke algebras of transitive permutation groups, and the algebras are usually noncommutative. So this treatment is also good for group theorists. The book under review also contains many recent developments in the theory. (Akihide Hanaki, Mathematical Reviews, 2006 h)

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