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Geometric Hyperplanes of the Near Hexagon L3 × GQ(2, 2).
- Source :
-
Letters in Mathematical Physics . Jan2010, Vol. 91 Issue 1, p93-104. 12p. 5 Diagrams, 2 Charts. - Publication Year :
- 2010
-
Abstract
- Having in mind their potential quantum physical applications, we classify all geometric hyperplanes of the near hexagon that is a direct product of a line of size three and the generalized quadrangle of order two. There are eight different kinds of them, totalling to 1,023 = 210 − 1 = |PG(9, 2)|, and they form two distinct families intricately related with the points and lines of the Veldkamp space of the quadrangle in question. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03779017
- Volume :
- 91
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Letters in Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 45599406
- Full Text :
- https://doi.org/10.1007/s11005-009-0362-z