Theory of Association Schemes

Paul-Hermann Zieschang3540261362, 9783540261360, 9783540305934

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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Table of contents :
file_01……Page 1
file_02……Page 15
file_03……Page 31
file_04……Page 53
file_05……Page 77
file_06……Page 96
file_07……Page 116
file_08……Page 145
file_09……Page 165
file_10……Page 195
file_11……Page 221
file_12……Page 249
file_13……Page 261
file_14……Page 289