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Some translation planes constructed by multiple derivation

Published online by Cambridge University Press:  17 April 2009

N. L. Johnson
N. L. Johnson
Affiliation:
Department of Mathematics, University of Iowa, Iowa City, Iowa 52242, USA.
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Abstract

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It is noted that the translation planes of Rao and Rao may be constructed from a Desarguesian plane by the replacement of a set of disjoint derivable nets. Their plane of order 25 which admits a collineation group splitting the infinite points into orbits of lengths 18 and 8 may be obtained by replacing exactly three disjoint derivable nets and may be viewed as being derived from the Andre nearfield plane of order 25.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 23 , Issue 2 , April 1981 , pp. 313 - 315
Copyright
Copyright © Australian Mathematical Society 1981

References

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