New Regular Parallelisms of PG(3, 5) |
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| Authors: | Svetlana Topalova Stela Zhelezova |
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| Institution: | Institute of Mathematics and Informatics, BAS, Bulgaria |
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| Abstract: | We construct all regular parallelisms of  with automorphisms of order 3. Their number is 8. The two cyclic parallelisms found by Prince are among them. The other six ones are the first examples of noncyclic regular parallelisms and the first examples of regular parallelisms that do not belong to the infinite families of Penttila and Williams. |
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| Keywords: | spread parallelism regular automorphisms |
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