Parallelisms of PG(n, q)

Authors

Keywords:

Projective space, parallelism, classification, automorphism

Abstract

Let PG(n, q) be the n-dimensional projective space over the finite field GF(q). A set of lines, such that each point is in exactly one of these lines, is called a spread. A parallelism is a partition of the lines of the projective space to spreads. The present paper considers the main properties of parallelisms of PG(n, q), the motivation for their study, the known results and some open problems in this research area.

Author Biographies

Svetlana Topalova, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria

Institute of Mathematics and Informatics
Bulgarian Academy of Sciences
Acad. G. Bonchev Str., Bl. 8
1113 Sofia, Bulgaria

Zhelezova Stela, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria

Institute of Mathematics and Informatics
Bulgarian Academy of Sciences
Acad. G. Bonchev Str., Bl. 8
1113 Sofia, Bulgaria

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Published

2022-04-01

How to Cite

[1]
Topalova, S. and Stela, Z. 2022. Parallelisms of PG(n, q). Mathematics and Education in Mathematics. 51, (Apr. 2022), 113–123.