Regular Article
Regular Packings of PG (3,q)

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Abstract

Two regular packings of PG(3,q) are constructed wheneverq  2(mod 3), with each packing admitting a cyclic group of orderq2 + q + 1 acting regularly on the regular spreads in the packing. The resulting families of translation planes of orderq4include the Lorimer–Rahilly and Johnson–Walker planes of order 16.

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Author to whom correspondence should be addressed. The second author acknowledges the support of a University of Western Australia Postgraduate Award.