Name
Abstract | ||
|---|---|---|
A spread in PG(n, q) is a set of mutually skew lines which partition the point set. A parallelism is a partition of the set of lines by spreads. The classification of parallelisms in small finite projective spaces is of interest for problems from projective geometry, design theory, network coding, error-correcting codes, cryptography, etc. All parallelisms of PG(3, 2) and PG(3, 3) are known and parallelisms of PG(3, 4) which are invariant under automorphisms of odd prime orders and under the Baer involution have already been classified. In the present paper, we classify all (we establish that their number is 252738) parallelisms in PG(3, 4) that are invariant under cyclic automorphism groups of order 4. We compute the order of their automorphism groups and obtain invariants based on the type of their spreads and duality. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1007/978-3-030-21363-3_8 | ALGEBRAIC INFORMATICS, CAI 2019 |
Keywords | DocType | Volume |
Finite projective space,Parallelism,Automorphism | Conference | 11545 |
ISSN | Citations | PageRank |
0302-9743 | 0 | 0.34 |
References | Authors | |
0 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Anton Betten | 1 | 70 | 14.96 |
| Svetlana Topalova | 2 | 25 | 8.30 |
| Stela Zhelezova | 3 | 4 | 3.13 |