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On rank 3 projective planes
Michael Joseph Kallaher |
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Vol. 39 (1971), No. 1, 207–214
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Abstract |
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One of the unsolved problems in the theory of projective planes is the following: Is every finite projective plane with a transitive collineation group desarguesian? This problem is investigated under the additional hypothesis that the group has rank 3. It is proven that if a projective plane 𝒫 of order n > 2 has a rank 3 collineation group then 𝒫 is nondesarguesian and either (i) n is odd and n = m4, or (ii) n is even and n = m2 with m = 0( mod 4). |
Mathematical Subject Classification
Primary: 50D30
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Milestones
Received: 12 January 1971
Published: 1 October 1971
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Authors |
| Michael Joseph Kallaher | |
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