New integer pairs for Hjelmslev planes

Sane, S. S. (1981) New integer pairs for Hjelmslev planes Geometriae Dedicata, 10 (1-4). pp. 35-48. ISSN 0046-5755

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Associated with every finite projective Hjelmslev plane is an invariant pair (t, r); t is the order of the Hjelmslev plane andr is the order of the underlying projective plane. The aim of this paper is to give some new constructions of Hjelmslev planes with an invariant pair (t, 2). First we construct a PH-plane with the invariant pair (20, 2). Using this, 16 more invariant pairs (t, 2) with t ≤ 1000 are obtained. In all, we thus obtain 17 new PH-planes with invariant pairs (t, 2), t ≤ 1000.

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ID Code:68019
Deposited On:02 Nov 2011 03:09
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