Author | Tits, Jacques. author |
---|---|
Title | Moufang Polygons [electronic resource] / by Jacques Tits, Richard M. Weiss |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002 |
Connect to | http://dx.doi.org/10.1007/978-3-662-04689-0 |
Descript | X, 535 p. online resource |
I Preliminary Results -- 1 Introduction -- 2 Some Definitions -- 3 Generalized Polygons -- 4 Moufang Polygons -- 5 Commutator Relations -- 6 Opposite Root Groups -- 7 A Uniqueness Lemma -- 8 A Construction -- II Nine Families of Moufang Polygons -- 9 Alternative Division Rings, I -- 10 Indifferent and Octagonal Sets -- 11 Involutory Sets and Pseudo-Quadratic Forms -- 12 Quadratic Forms of Type E6, E7 and E8, I -- 13 Quadratic Forms of Type E6, E7 and E8, II -- 14 Quadratic Forms of Type F4 -- 15 Hexagonal Systems, I -- 16 An Inventory of Moufang Polygons -- 17 Main Results -- III The Classification of Moufang Polygons -- 18 A Bound on n -- 19 Triangles -- 20 Alternative Division Rings, II -- 21 Quadrangles -- 22 Quadrangles of Involution Type -- 23 Quadrangles of Quadratic Form Type -- 24 Quadrangles of Indifferent Type -- 25 Quadrangles of Pseudo-Quadratic Form Type, I -- 26 Quadrangles of Pseudo-Quadratic Form Type, II -- 27 Quadrangles of Type E6, E7 and E8 -- 28 Quadrangles of Type F4 -- 29 Hexagons -- 30 Hexagonal Systems, II -- 31 Octagons -- 32 Existence -- IV More Results on Moufang Polygons -- 33 BN-Pairs -- 34 Finite Moufang Polygons -- 35 Isotopes -- 36 Isomorphic Hexagonal Systems -- 37 Automorphisms -- 38 Isomorphic Quadrangles -- V Moufang Polygons and Spherical Buildings -- 39 Chamber Systems -- 40 Spherical Buildings -- 41 Classical, Algebraic and Mixed Buildings -- 42 Appendix -- Index of Notation