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Proceedings of the American Mathematical Society

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A new flag transitive affine plane of order $ 27$


Authors: M. L. Narayana Rao and K. Kuppuswamy Rao
Journal: Proc. Amer. Math. Soc. 59 (1976), 337-345
MSC: Primary 50D35; Secondary 05B25
DOI: https://doi.org/10.1090/S0002-9939-1976-0420427-8
MathSciNet review: 0420427
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Abstract: A flag transitive affine plane of order $ 27$ is constructed. The stabilizer of the origin of this plane contains a cyclic subgroup which is transitive on the lines through the origin. It is also shown that this plane is not isomorphic to the flag transitive plane constructed by Hering.


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DOI: https://doi.org/10.1090/S0002-9939-1976-0420427-8
Keywords: Projective planes, affine planes, flag transitivity, collineations
Article copyright: © Copyright 1976 American Mathematical Society