Parallelisms of \(\mathrm{PG}(3,4)\) invariant under an elementary abelian group of order 4

DOI10.1007/s00200-022-00562-7zbMath1502.51001OpenAlexW4312997862MaRDI QIDQ2100109

Svetlana Topalova, Stela Zhelezova, Anton Betten

Publication date: 21 November 2022

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-022-00562-7

zbMATH Keywords

classificationautomorphismprojective spaceparallelismcombinatorial designGAPorbiter

Mathematics Subject Classification ID

Combinatorial structures in finite projective spaces (51E20) Linear incidence geometric structures with parallelism (51A15)

Uses Software

• GAP
• Magma
• Orbiter
• GitHub

Cites Work

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• The packings of \(\mathrm{PG}(3,3)\)
• On transitive parallelisms of \(\mathrm{PG}(3,4)\)
• The classification of the translation planes of order 16. I
• Classification algorithms for codes and designs
• Orthogonal packings in PG(5,2)
• Partitioning the planes of \(AG_{2m}(2)\) into 2-designs
• The cyclic parallelism of PG(3,5)
• Regular packings of \(PG(3,q)\)
• The Magma algebra system. I: The user language
• New parallelisms of \(\mathrm{PG}(3, 4)\)
• On parallelisms in finite projective spaces
• Backtrack search for parallelisms of projective spaces
• Parallelisms of \(\mathrm{PG}(3,4)\) invariant under cyclic groups of order 4
• On point-transitive and transitive deficiency one parallelisms of \(\mathrm{PG}(3,4)\)
• Involutions of projective spaces
• Resolutions of PG(5, 2) with point-cyclic automorphism group
• Isomorphism and Invariants of Parallelisms of Projective Spaces