000 | 03162nam a22004575i 4500 | ||
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001 | 978-3-540-38349-9 | ||
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005 | 20190213151201.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1974 gw | s |||| 0|eng d | ||
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_a9783540383499 _9978-3-540-38349-9 |
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024 | 7 |
_a10.1007/978-3-540-38349-9 _2doi |
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_aPBF _2bicssc |
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_aMAT002000 _2bisacsh |
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_aPBF _2thema |
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082 | 0 | 4 |
_a512 _223 |
100 | 1 |
_aTits, Jacques. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aBuildings of Spherical Type and Finite BN-Pairs _h[electronic resource] / _cby Jacques Tits. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1974. |
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300 |
_aXII, 304 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v386 |
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505 | 0 | _aComplexes -- Coxeter complexes -- Buildings -- Reduction -- The building of a semi-simple algebraic group -- Buildings of type An, Dn, En -- Buildings of type Cn. I. Polar spaces -- Buildings of type Cn. II. Projective embeddings of polar spaces -- Buildings of type Cn. III. Non-embeddable polar spaces -- Buildings of type F4 -- Finite BN-pairs of irreducible type and rank ? 3 -- Appendix 1. Shadows -- Appendix 2. Generators and relations. | |
520 | _aThese 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 partiĀ 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. | ||
650 | 0 | _aAlgebra. | |
650 | 1 | 4 |
_aAlgebra. _0http://scigraph.springernature.com/things/product-market-codes/M11000 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662165782 |
776 | 0 | 8 |
_iPrinted edition: _z9783540067573 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v386 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-540-38349-9 |
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