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Translation complements of C-planes: (I)

Published online by Cambridge University Press:  17 April 2009

M. L. Narayana Rao ,
K. Kuppuswamy Rao  and
G. V. Subba Rao
M. L. Narayana Rao
Affiliation:
Department of Mathematics, University College of Science, Osmania University, Hyderabad 500 007 (A.P.), India.
K. Kuppuswamy Rao
Affiliation:
Department of Mathematics, A.P. Open University, Hyderabad - 500 485, (A.P.), India.
G. V. Subba Rao
Affiliation:
Department of Mathematics, University College of Science, Osmania University, Hyderabad 500 007 (A.P.), India.
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Abstract

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Narayana Rao, Rodabaugh, Wilke and Zemmer constructed a new class of finite translation planes from exceptional near-fields described by Dickson and Zassenhaus. These planes referred to as C-planes are not coordinatized by the generalized André systems. In this paper we compute the translation complement of the C-plane corresponding to the C-system III–1. It is found that the translation complement is of order 6912 and it divides the set of ideal points into two orbits of lengths 2 and 48.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 36 , Issue 1 , August 1987 , pp. 99 - 111
Copyright
Copyright © Australian Mathematical Society 1987

References

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