A01=Hendrik Van Maldeghem
A01=Joseph A Thas
A01=Koen Thas
Author_Hendrik Van Maldeghem
Author_Joseph A Thas
Author_Koen Thas
Category=PBH
Category=PBK
Category=PBM
Category=PBMS
Category=PBV
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Elation Generalized Quadrangle
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eq_isMigrated=1
eq_isMigrated=2
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Generalized Quadrangle
Moufang Condition
Moufang Set
Pseudo-Oval
Pseudo-Ovoid
Span-Symmetric Generalized Quadrangle
Translation Generalized Quadrangle
Translation Ovoid
Product details
- ISBN 9789812569516
- Publication Date: 28 Oct 2006
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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Translation generalized quadrangles play a key role in the theory of generalized quadrangles, comparable to the role of translation planes in the theory of projective and affine planes. The notion of translation generalized quadrangle is a local analogue of the more global “Moufang Condition”, a topic of great interest, also due to the classification of all Moufang polygons. Attention is thus paid to recent results in that direction, but also many of the most important results in the general theory of generalized quadrangles that appeared since 1984 are treated.Translation Generalized Quadrangles is essentially self-contained, as the reader is only expected to be familiar with some basic facts on finite generalized quadrangles. Proofs that are either too long or too technical are left out, or just sketched. The three standard works on generalized quadrangles are (co-)authored by the writers of this book: “Finite Generalized Quadrangles” (1984) by S E Payne and J A Thas, “Generalized Polygons” (1998) by H Van Maldeghem, and “Symmetry in Finite Generalized Quadrangles” (2004) by K Thas.
