Pregled bibliografske jedinice broj: 34983
Some new symmetric designs with lambda=10 having an automorphism of order 5
Some new symmetric designs with lambda=10 having an automorphism of order 5 // Discrete mathematics, 196 (1999), 1/3; 257-266 doi::10.1016/S0012-365X(98)00205-2 (međunarodna recenzija, članak, znanstveni)
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Naslov
Some new symmetric designs with lambda=10 having an automorphism of order 5
Autori
Pavčević, Mario-Osvin ; Spence, Edward
Izvornik
Discrete mathematics (0012-365X) 196
(1999), 1/3;
257-266
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
symmetric design; tactical decomposition; automorphism group
Sažetak
In this paper we determine all symmetric designs with parameters (61, 25, 10) with an automorphism of order 5 fixing 11 points. Among them, there are exactly 24 non-isomorphic designs admitting the action of an elementary abelian group of order 25. The only previously known design with there parameters is one of the 24 designs constructed here. We have further proved that there are at least 588 symmetric (66, 26, 10)-designs. Of these, 558 admit a specific action of the dihedral group of order 10 and exactly 22 admit the only possible action of the elementary abelian group of order 25.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
036025
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Profili:
Mario-Osvin Pavčević
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- Mathematical reviews
- Zentralblatt fuer Mathematik
