The Resource Buildings of spherical type and finite BNpairs
Buildings of spherical type and finite BNpairs
Resource Information
The item Buildings of spherical type and finite BNpairs represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Buildings of spherical type and finite BNpairs represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 These notes are a slightly revised and extended version of mim graphed notes written on the occasion of a seminar on buildings and BNpairs 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 BNpairs 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
 Language
 eng
 Extent
 1 online resource (x, 299 pages).
 Contents

 Complexes
 Coxeter complexes
 Buildings
 Reduction
 The building of a semisimple 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. Nonembeddable polar spaces
 Buildings of type F4
 Finite BNpairs of irreducible type and rank? 3
 Appendix 1. Shadows
 Appendix 2. Generators and relations
 Isbn
 9783540383499
 Label
 Buildings of spherical type and finite BNpairs
 Title
 Buildings of spherical type and finite BNpairs
 Subject

 Buildings (Group theory)
 Buildings (Group theory)
 Finite groups
 Finite groups
 Finite groups
 Groupes finis
 Groupes linéaires algébriques
 Isomorphismes (Mathématiques)
 Isomorphisms (Mathematics)
 Isomorphisms (Mathematics)
 Isomorphisms (Mathematics)
 Linear algebraic groups
 Linear algebraic groups
 Linear algebraic groups
 Lineare Algebra
 Buildings (Group theory)
 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 BNpairs 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 BNpairs 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
 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 BNpairs
 Bibliography note
 Includes bibliographical references (pages 277286)
 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 semisimple 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. Nonembeddable polar spaces  Buildings of type F4  Finite BNpairs 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 BNpairs
 Bibliography note
 Includes bibliographical references (pages 277286)
 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 semisimple 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. Nonembeddable polar spaces  Buildings of type F4  Finite BNpairs 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.
Subject
 Buildings (Group theory)
 Buildings (Group theory)
 Finite groups
 Finite groups
 Finite groups
 Groupes finis
 Groupes linéaires algébriques
 Isomorphismes (Mathématiques)
 Isomorphisms (Mathematics)
 Isomorphisms (Mathematics)
 Isomorphisms (Mathematics)
 Linear algebraic groups
 Linear algebraic groups
 Linear algebraic groups
 Lineare Algebra
 Buildings (Group theory)
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Buildingsofsphericaltypeandfinite/WPKgywB70Js/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Buildingsofsphericaltypeandfinite/WPKgywB70Js/">Buildings of spherical type and finite BNpairs</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>