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Generalization of Hall planes of odd order

Published online by Cambridge University Press:  17 April 2009

P.B. Kirkpatrick
P.B. Kirkpatrick
Affiliation:
University of Sydney, Sydney, New South Wales.
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Abstract

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Some properties of projective planes having a certain type of collineation group are proved, and a class of these planes which properly contains the class of all Hall planes of odd order is explicitly constructed.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 4 , Issue 2 , April 1971 , pp. 205 - 209
Copyright
Copyright © Australian Mathematical Society 1971

References

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[5]Hughes, D.R., “Collineation groups of non-desarguesian planes, I. The Hall-Veblen-Wedderburn systems”, Amer. J. Math. 81 (1959), 921–938.CrossRefGoogle Scholar