Coverart for item
The Resource Buildings of spherical type and finite BN-pairs

Buildings of spherical type and finite BN-pairs

Label
Buildings of spherical type and finite BN-pairs
Title
Buildings of spherical type and finite BN-pairs
Creator
Subject
Language
eng
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 ãnd 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{u00AD} 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
Member of
Action
digitized
Cataloging source
SPLNM
http://library.link/vocab/creatorName
Tits, Jacques
Dewey number
512.2
Index
no index present
LC call number
  • QA3
  • QA171
LC item number
.L28 no. 386
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
386
http://library.link/vocab/subjectName
  • Buildings (Group theory)
  • Linear algebraic groups
  • Finite groups
  • Isomorphisms (Mathematics)
  • Groupes linéaires algébriques
  • Groupes finis
  • Isomorphismes (Mathématiques)
  • Buildings (Group theory)
  • Finite groups
  • Isomorphisms (Mathematics)
  • Linear algebraic groups
  • Lineare Algebra
Label
Buildings of spherical type and finite BN-pairs
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 277-286)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Complexes -- 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
Control code
277191723
Dimensions
unknown
Extent
1 online resource (x, 299 pages).
Form of item
online
Isbn
9783540383499
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)277191723
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Label
Buildings of spherical type and finite BN-pairs
Publication
Bibliography note
Includes bibliographical references (pages 277-286)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Complexes -- 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
Control code
277191723
Dimensions
unknown
Extent
1 online resource (x, 299 pages).
Form of item
online
Isbn
9783540383499
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)277191723
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

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