Q-Clan Geometries in Characteristic
Cardinali, Ilaria; Payne, Stanley E.
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Description for Q-Clan Geometries in Characteristic
Paperback. Offers a complete proof of the Fundamental Theorem of q-Clan Geometry, followed by a detailed study of the known examples. This title completely works out the collineation groups of the associated generalized quadrangles and the stabilizers of their associated ovals. Series: Frontiers in Mathematics. Num Pages: 180 pages, biography. BIC Classification: PBMW. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 244 x 170 x 9. Weight in Grams: 328.
A q-clan with q a power of 2 is equivalent to a certain generalized quadrangle with a family of subquadrangles each associated with an oval in the Desarguesian plane of order 2. It is also equivalent to a flock of a quadratic cone, and hence to a line-spread of 3-dimensional projective space and thus to a translation plane, and more. These geometric objects are tied together by the so-called Fundamental Theorem of q-Clan Geometry. The book gives a complete proof of this theorem, followed by a detailed study of the known examples. The collineation groups of the associated generalized quadrangles and the ... Read more
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Format
Paperback
Publication date
2007
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
180
Condition
New
Series
Frontiers in Mathematics
Number of Pages
166
Place of Publication
Basel, Switzerland
ISBN
9783764385071
SKU
V9783764385071
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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