WorldCat Identities

Buekenhout, Francis

Overview
Works: 49 works in 120 publications in 3 languages and 1,276 library holdings
Roles: Author, Editor, Other
Publication Timeline
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Most widely held works by Francis Buekenhout
Diagram geometry : related to classical groups and buildings by Francis Buekenhout( )

15 editions published between 2013 and 2015 in English and held by 469 WorldCat member libraries worldwide

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
Handbook of incidence geometry : buildings and foundations by Francis Buekenhout( Book )

17 editions published between 1994 and 2008 in English and held by 416 WorldCat member libraries worldwide

This Handbook deals with the foundations of incidence geometry, in relationship with division rings, rings, algebras, lattices, groups, topology, graphs, logic and its autonomous development from various viewpoints. Projective and affine geometry are covered in various ways. Major classes of rank 2 geometries such as generalized polygons and partial geometries are surveyed extensively. More than half of the book is devoted to buildings at various levels of generality, including a detailed and original introduction to the subject, a broad study of characterizations in terms of points and lines, applications to algebraic groups, extensions to topological geometry, a survey of results on diagram geometries and nearby generalizations such as matroids
Geometries of small almost simple groups based on maximal subgroups by Francis Buekenhout( Book )

11 editions published in 1998 in English and Undetermined and held by 79 WorldCat member libraries worldwide

Œuvres = collected works by Jacques Tits( Book )

8 editions published in 2013 in 3 languages and held by 57 WorldCat member libraries worldwide

Diagram geometry : related to classical groups and buildings by Francis Buekenhout( Book )

2 editions published in 2013 in English and held by 33 WorldCat member libraries worldwide

Oeuvres. Collected works by Jacques Tits( Book )

6 editions published in 2013 in 3 languages and held by 26 WorldCat member libraries worldwide

An atlas of residually weakly primitive geometries for small groups by Francis Buekenhout( Book )

2 editions published in 1999 in English and held by 18 WorldCat member libraries worldwide

A characterization of some rank 2 incidence geometries by their automorphism group by Francis Buekenhout( Book )

3 editions published in 1994 in English and German and held by 18 WorldCat member libraries worldwide

An atlas of residually weakly primitive geometries for small groups by Francis Buekenhout( Book )

2 editions published in 1999 in English and held by 15 WorldCat member libraries worldwide

A characterization of some rank 2 incidence geometries by their automorphism group by Francis Buekenhout( Book )

1 edition published in 1994 in English and held by 14 WorldCat member libraries worldwide

Œuvres = Collected works by Jacques Tits( Book )

2 editions published in 2013 in French and held by 11 WorldCat member libraries worldwide

Œuvres = Collected works by Jacques Tits( Book )

2 editions published in 2013 in French and held by 11 WorldCat member libraries worldwide

Œuvres = Collected works by Jacques Tits( Book )

2 editions published in 2013 in French and held by 11 WorldCat member libraries worldwide

Œuvres = Collected works by Jacques Tits( Book )

2 editions published in 2013 in French and held by 11 WorldCat member libraries worldwide

Œuvres = Collected works by Jacques Tits( Book )

1 edition published in 2013 in French and held by 6 WorldCat member libraries worldwide

An atlas of residually weakly primitive geometries for small groups by Francis Buekenhout( Book )

4 editions published in 1999 in English and French and held by 6 WorldCat member libraries worldwide

Œuvres = Collected works by Jacques Tits( Book )

1 edition published in 2013 in French and held by 6 WorldCat member libraries worldwide

Œuvres = Collected works by Jacques Tits( Book )

1 edition published in 2013 in French and held by 6 WorldCat member libraries worldwide

Œuvres = Collected works by Jacques Tits( Book )

1 edition published in 2013 in French and held by 6 WorldCat member libraries worldwide

Oeuvres. ollected works by Jacques Tits( )

1 edition published in 2013 in French and held by 5 WorldCat member libraries worldwide

 
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Audience Level
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  Kids General Special  
Audience level: 0.66 (from 0.53 for Diagram ge ... to 0.96 for An atlas o ...)

Handbook of incidence geometry : buildings and foundations
Covers
Alternative Names
Buekenhout, F.

Buekenhout, F. 1937-

Buekenhout, F. (Francis)

Francis Buekenhout Belgian mathematician

Francis Buekenhout Belgisch wiskundige

Francis Buekenhout belgischer Mathematiker, (Geometrie)

Francis Buekenhout belgisk matematikar

Francis Buekenhout belgisk matematiker

Francis Buekenhout matemático belga

Languages
English (59)

French (21)

German (2)