skip to content
Diagram geometry : related to classical groups and buildings Preview this item
ClosePreview this item
Checking...

Diagram geometry : related to classical groups and buildings

Author: Francis Buekenhout; Arjeh M Cohen
Publisher: Berlin ; London : Springer, 2013.
Series: Ergebnisse der Mathematik und ihrer Grenzgebiete, v.57.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
This book provides a self-contained introduction to diagram geometry. Tight connections with group theory are shown. It treats thin geometries (related to Coxeter groups) and thick buildings from a diagrammatic perspective. Projective and affine geometry are main examples. Polar geometry is motivated by polarities on diagram geometries and the complete classification of those polar geometries whose projective  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Buekenhout, Francis.
Diagram geometry.
Berlin ; London : Springer, 2013
(OCoLC)821703505
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Francis Buekenhout; Arjeh M Cohen
ISBN: 9783642344534 3642344534
OCLC Number: 826289997
Description: 1 online resource.
Contents: Geometries --
Diagrams --
Chamber Systems --
Thin Geometries --
Linear Geometries --
Projective and Affine Spaces --
Polar Spaces --
Projective Embeddings of Polar Spaces --
Embedding Polar Spaces in Absolutes --
Classical Polar Spaces --
Buildings.
Series Title: Ergebnisse der Mathematik und ihrer Grenzgebiete, v.57.
Responsibility: by Francis Buekenhout, Arjeh M. Cohen.
More information:

Abstract:

This self-contained introduction treats thin geometries and thick buildings from a diagrammatic perspective, covers polar geometries whose projective planes are Desarguesian and offers a basic  Read more...

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


<http://www.worldcat.org/oclc/826289997>
library:oclcnum"826289997"
library:placeOfPublication
library:placeOfPublication
library:placeOfPublication
owl:sameAs<info:oclcnum/826289997>
rdf:typeschema:Book
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:bookFormatschema:EBook
schema:contributor
schema:creator
schema:datePublished"2013"
schema:description"This book provides a self-contained introduction to diagram geometry. Tight connections with group theory are shown. It treats thin geometries (related to Coxeter groups) and thick buildings from a diagrammatic perspective. Projective and affine geometry are main examples. Polar geometry is motivated by polarities on diagram geometries and the complete classification of those polar geometries whose projective planes are Desarguesian is given. It differs from Tits' comprehensive treatment in that it uses Veldkamp's embeddings. The book intends to be a basic reference for those who study diagram geometry. Group theorists will find examples of the use of diagram geometry. Light on matroid theory is shed from the point of view of geometry with linear diagrams. Those interested in Coxeter groups and those interested in buildings will find brief but self-contained introductions into these topics from the diagrammatic perspective. Graph theorists will find many highly regular graphs.The text is written so graduate students will be able to follow the arguments without needing recourse to further literature.A strong point of the book is the density of examples."
schema:exampleOfWork<http://worldcat.org/entity/work/id/1189563418>
schema:genre"Electronic books."
schema:inLanguage"en"
schema:name"Diagram geometry related to classical groups and buildings"
schema:publisher
schema:url<http://site.ebrary.com/id/10654419>
schema:url<http://lib.myilibrary.com?id=464805>
schema:url
schema:url<http://dx.doi.org/10.1007/978-3-642-34453-4>
schema:url<http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=565371>
schema:url<http://link.springer.com/10.1007/978-3-642-34453-4>
schema:workExample

Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.