Parallelisms of PG(3, 5) with an Automorphism Group of Order 25

Autor:	Stela Zhelezova, Svetlana Topalova
Rok vydání:	2021
Předmět:	Combinatorics Automorphism group Transitive relation Projective space Order (ring theory) Isomorphism Invariant (mathematics) Automorphism Mathematics
Zdroj:	Trends in Mathematics ISBN: 9783030838225
DOI:	10.1007/978-3-030-83823-2_107
Popis:	We construct all parallelisms of \(\mathrm{PG}(3,5)\) that are invariant under an automorphism group of order 25. Up to isomorphism their number is 14873. Using them we obtain 12 transitive deficiency one parallelisms, two of which belong to an infinite family constructed by Johnson.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e9f2a9f317606a38bd5f702164ff7d48 https://doi.org/10.1007/978-3-030-83823-2_107 Zobrazit plný text záznamu