Translation complements of C-planes: (I)

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 compl...

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Bibliographic Details
Published in:Bulletin of the Australian Mathematical Society 1987-08, Vol.36 (1), p.99-111
Main Authors: Narayana Rao, M. L., Kuppuswamy Rao, K., Subba Rao, G. V.
Format: Article
Language:English
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Summary: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.
ISSN:0004-9727
1755-1633
DOI:10.1017/S0004972700026332