Buildings of Spherical Type and Finite BN Pairs is popular PDF and ePub book, written by J. Tits in 2009-02-05, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Buildings of Spherical Type and Finite BN Pairs can be Read Online from any device for your convenience.
Buildings of Spherical Type and Finite BN Pairs Book PDF Summary
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.
Detail Book of Buildings of Spherical Type and Finite BN Pairs PDF
- Author : J. Tits
- Release : 05 February 2009
- Publisher : Springer
- ISBN : 9783540383499
- Genre : Mathematics
- Total Page : 313 pages
- Language : English
- PDF File Size : 18,9 Mb
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