Finite projective planes admitting a projective linear group PSL (2,q)
نویسندگان
چکیده
منابع مشابه
Finite linear spaces and projective planes
In 1948, De Bruijn and Erdös proved that a finite linear space on v points has at least v lines, with equality occurring if and only if the space is either a near-pencil (all points but one collinear) or a projective plane . In this paper, we study finite linear spaces which are not near-pencils . We obtain a lower bound for the number of lines (as a function of the number of points) for such l...
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It is conjectured that the question of the existence of a set of d + 1 mutually unbiased bases in a ddimensional Hilbert space if d differs from a power of prime is intimatelly linked with the problem whether there exist projective planes whose order d is not a power of prime. Recently, there has been a considerable resurgence of interest in the concept of the so-called mutually unbiased bases ...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2006
ISSN: 0024-3795
DOI: 10.1016/j.laa.2005.08.026