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- W2320874576 abstract "It is well known that a translation plane can be represented in a vector space over a field F where F is a subfield of the kernel of a quasifield which coordinatizes the plane [ 1 ; 2 ; 4 , p.220; 10]. If II is a finite translation plane of order q r (q = p n , p any prime), then II may be represented in V 2r (q), the vector space of dimension 2r over GF( q ), as follows: (i) The points of II are the vectors in V = V 2r (q) (ii) The lines of II are (a) A set of q r + 1 mutually disjoint r -dimensional subspaces of V . (b) All translates of in V . (iii) Incidence is inclusion." @default.
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- W2320874576 date "1979-02-01" @default.
- W2320874576 modified "2023-09-25" @default.
- W2320874576 title "Indicator Sets in an Affine Space of any Dimension" @default.
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- W2320874576 doi "https://doi.org/10.4153/cjm-1979-022-6" @default.
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