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Spreads and group divisible designs
Authors:Christine M O'Keefe  Alan Rahilly
Institution:(1) Department of Pure Mathematics, The University of Adelaide, GPO Box 498, 5001 Adelaide, SA, Australia;(2) Centre for Combinatorics, Department of Mathematics, The University of Queensland, 4072 St. Lucia, Qld, Australia
Abstract:By removing the components of at-spread 
$$S$$
of a finite projective spacePG(d, q) from each hyperplane ofPG(d, q), the blocks of a regular group divisible design 
$$\mathcal{G}(S)$$
are obtained We characterize geometrict-spreads as thoset-spreads 
$$S$$
which are such that the dual of 
$$\mathcal{G}(S)$$
is also a group divisible design.
Keywords:
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