Heriot-Watt Mathematics Report Series
HWM98-15, 17 Feb 1998
The cyclic parallelisms of PG(3,5)
A R Prince
We determine, by a computer search, all the cyclic parallelisms of PG(3,5). There are 45 of them, up to projective equivalence. In particular, there are two cyclic regular parallelisms of PG(3,5). Previously, no example was known of a regular parallelism in PG(3,$q$), for $q$ odd.
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