Buildings of Spherical Type and Finite BN-Pairs (Paperback, 1st ed. 1974. Corr. 2nd printing 1986)

These notes are a slightly revised and extended version of mim- graphed notes written on the occasion of a seminar on buildings and BN-pairs held at Oberwolfach in April 1968. Their main purpose is to present the solution of the following two problems: (A) Determination of the buildings of rank >; and irreducible, spherical type, other than ~ and H ("of spherical type" means "with finite Weyl 4 group", about the excluded types H, cf. the addenda on p. 274). Roughly speaking, those buildings all turn out to be associated to simple algebraic or classical groups (cf. 6. ;, 6. 1;, 8. 4. ;, 8. 22, 9. 1, 10. 2). An easy application provides the enumeration of all finite groups with BN-pairs of irreducible type and rank >;, up to normal subgroups contained in B (cf. 11. 7). (B) Determination of all isomorphisms between buildings of rank > 2 and spherical type associated to algebraic or classical simple groups and, in parti cular, description of the full automorphism groups of such buildings (cf. 5. 8, 5. 9, 5. 10, 6. 6, 6. 1;, 8. 6, 9. ;, 10. 4). Except for the appendices, the notes are rather strictly oriented - ward these goals.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Mathematics, 386
Release date:	1974
First published:	1986
Authors:	J. Tits
Dimensions:	235 x 155 x 16mm (L x W x T)
Format:	Paperback
Pages:	304
Edition:	1st ed. 1974. Corr. 2nd printing 1986
ISBN-13:	978-3-540-06757-3
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General
LSN:	3-540-06757-4
Barcode:	9783540067573

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