This book gives the complete classification of Moufang polygons,
starting from first principles. In particular, it may serve as an
introduction to the various important algebraic concepts which
arise in this classification including alternative division rings,
quadratic Jordan division algebras of degree three,
pseudo-quadratic forms, BN-pairs and norm splittings of quadratic
forms. This book also contains a new proof of the classification of
irreducible spherical buildings of rank at least three based on the
observation that all the irreducible rank two residues of such a
building are Moufang polygons. In an appendix, the connection
between spherical buildings and algebraic groups is recalled.
General
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