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Flag transitive planes of dimension four over GF(3) (1988)

Narayana Rao, M. L. ; Kuppuswamy Rao, K. ; Durgaprasad, K. V.

Springer

Journal of geometry 33 (1988), S. 89-98

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ISSN: 1420-8997

Keywords: 51E15 ; (05B25, 20B25) ; Translation plane ; Flag Transitive planes ; translation complement ; collineations

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract Two non desarguesian flag transitive planes of order 34 whose Kernel is GF(3) are constructed. These planes are distinct from the planes of the same order contained in the class constructed by Narayana Rao M. L. (Proceedings of American Mathematical Society 39 (1973) 51–56) and Ebert, G.L. and Baker, R. (Enumeration of two dimensional Flag-Transitive planes, Algebras, Groups and Geometries 3 (1985) 248–257). The Flag Transitive group modulo the scalar collineations of these planes is generated by two elements and is of order 328.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01230608

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