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New Regular Parallelisms of PG(3, 5)
Author(s) -
Topalova Svetlana,
Zhelezova Stela
Publication year - 2016
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.21526
Subject(s) - mathematics , combinatorics , automorphism
We construct all regular parallelisms of P G ( 3 , 5 ) 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.