000 | 03152nam a22004455i 4500 | ||
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001 | 978-3-642-34453-4 | ||
003 | DE-He213 | ||
005 | 20140220082857.0 | ||
007 | cr nn 008mamaa | ||
008 | 130125s2013 gw | s |||| 0|eng d | ||
020 |
_a9783642344534 _9978-3-642-34453-4 |
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024 | 7 |
_a10.1007/978-3-642-34453-4 _2doi |
|
050 | 4 | _aQA440-699 | |
072 | 7 |
_aPBM _2bicssc |
|
072 | 7 |
_aMAT012000 _2bisacsh |
|
082 | 0 | 4 |
_a516 _223 |
100 | 1 |
_aBuekenhout, Francis. _eauthor. |
|
245 | 1 | 0 |
_aDiagram Geometry _h[electronic resource] : _bRelated to Classical Groups and Buildings / _cby Francis Buekenhout, Arjeh M. Cohen. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2013. |
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300 |
_aXIII, 592 p. 108 illus. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aErgebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, _x0071-1136 ; _v57 |
|
505 | 0 | _a1. Geometries -- 2. Diagrams -- 3. Chamber Systems -- 4. Thin Geometries -- 5. Linear Geometries -- 6. Projective and Affine Spaces -- 7. Polar Spaces -- 8. Projective Embeddings of Polar Spaces -- 9. Embedding Polar Spaces in Absolutes -- 10. Classical Polar Spaces -- 11. Buildings -- Bibliography -- Index. | |
520 | _aThis 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. | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aGeometry. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aGeometry. |
700 | 1 |
_aCohen, Arjeh M. _eauthor. |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783642344527 |
830 | 0 |
_aErgebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, _x0071-1136 ; _v57 |
|
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-642-34453-4 |
912 | _aZDB-2-SMA | ||
999 |
_c97518 _d97518 |