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https://doi.org/10.3336/gm.58.2.05

On symmetric 2-(70,24,8) designs with an automorphism of order 6

Sanja Rukavina orcid id orcid.org/0000-0003-3365-7925 ; Faculty of Mathematics, University of Rijeka, 51 000 Rijeka, Croatia
Vladimir D Tonchev orcid id orcid.org/0000-0003-1806-3571 ; Department of Mathematical Sciences, Michigan Technological University, Houghton, MI 49931, USA


Puni tekst: engleski pdf 418 Kb

str. 225-232

preuzimanja: 170

citiraj

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Sažetak

In this paper we analyze possible actions of an automorphism of order six on a 2-(70,24,8) design, and give a complete classification for the action of the cyclic group of order six G=ρZ6Z2×Z3, where ρ3 fixes exactly 14 points (blocks) and ρ2 fixes 4 points (blocks). Up to isomorphism there are 3718 such designs. This result significantly increases the number of
previously known 2-(70,24,8) designs.

Ključne riječi

Symmetric design, automorphism group

Hrčak ID:

312012

URI

https://hrcak.srce.hr/312012

Datum izdavanja:

18.2.2025.

Posjeta: 564 *





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