Kenzi Akiyama, Chihiro Suetake, Masaki Tanaka
Abstract
Abstract In this paper, we prove that there are no projective planes of order 12 admitting a collineation group of order 4. This yields that the order of any collineation group of a projective plane of order 12 is 1, 2, or 3.
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Abstract In this paper, we prove that there are no projective planes of order 12 admitting a collineation group of order 4. This yields that the order of any collineation group of a projective plane of order 12 is 1, 2, or 3.
Key concepts: Collineation, Projective plane, Mathematics, Order (exchange), Fano plane, Group (periodic table), Projective test, Combinatorics