Affine Subplanes of Finite Projective Planes

Affine Subplanes of Finite Projective Planes
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DOI:
10.4153/cjm-1965-093-1
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发表时间:
1965
期刊:
Canadian Journal of Mathematics
影响因子:
--
通讯作者:
J. Rigby
J. Rigby
中科院分区:
其他
文献类型:
--
作者:
J. Rigby

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Let π be a finite projective plane of order n containing a finite projective subplane π* of order u < n. Bruck has shown (1, p. 398) that if π contains a point that does not lie on any line of π*, then n ≥ u 2 + u, while if every point of π lies on a line of π* then n = u 2. Let π be a finite projective plane of order n containing a finite affine subplane π0 of order m < n.