Using suitable subgroups of Singer cyclic groups we prove some properties of regular spreads and Segre varieties, which in turn yield a necessary and sufficient condition for partitioning a finite projective space into such varieties.
Partitioning projective geometries into Segre varieties / Bonisoli, Arrigo; A., Cossidente; D., Saeli. - In: JOURNAL OF GEOMETRY. - ISSN 0047-2468. - STAMPA. - 57:(1996), pp. 58-62.
Partitioning projective geometries into Segre varieties
BONISOLI, Arrigo;
1996
Abstract
Using suitable subgroups of Singer cyclic groups we prove some properties of regular spreads and Segre varieties, which in turn yield a necessary and sufficient condition for partitioning a finite projective space into such varieties.
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