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A characterization of generalized Hall planes

Published online by Cambridge University Press:  17 April 2009

N.L. Johnson
N.L. Johnson
Affiliation:
The University of Iowa, Iowa City, Iowa, USA.
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Abstract

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We prove that a translation plane π of odd order is a generalized Hall plane if and only if π is derived from a translation plane of semi-translation class 1–3a. Also, a derivable translation plane of even order and class 1–3a derives a generalized Hall plane. We also show that the generalized Hall planes of Kirkpatrick form a subclass of the class of planes derived from the Dickson semifield planes.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 6 , Issue 1 , February 1972 , pp. 61 - 67
Copyright
Copyright © Australian Mathematical Society 1972

References

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