A New Flag Transitive Affine Plane of Order 27

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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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 1976-09, Vol.59 (2), p.337-345
Main Authors: M. L. Narayana Rao, Rao, K. Kuppuswamy
Format: Article
Language:English
Subjects:
Geometric planes
Mathematical transitivity
Matrices
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Summary: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.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-1976-0420427-8