Pregled bibliografske jedinice broj: 76119
Some Hadamard Designs with Parameters (71, 35, 17)
Some Hadamard Designs with Parameters (71, 35, 17) // Journal of Combinatorial Designs, 10 (2001), 144-149 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 76119 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Some Hadamard Designs with Parameters (71, 35, 17)
Autori
Crnković, Dean ; Held, Dieter
Izvornik
Journal of Combinatorial Designs (1063-8539) 10
(2001);
144-149
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
symmetric design; Hadamard design; orbit structure; automorphism group
Sažetak
Up to isomorphisms there are precisely 8 symmetric designs with parameters (71, 35, 17) admitting a faithful action of a Frobenius group of order 21 in such a way that an element of order 3 fixes precisely 11 points. Five of these designs have 84 and three have 420 as the order of the full automorphism group G. If |G| = 420, then the structure of G is unique and we have G =(Frob21 x Z5):Z4. In this case Z(G) = < 1 >, G' has order 35, and G induces an automorphism group of order 6 of Z7. If |G|=84, then Z(G) is of order 2, and in precisely one case a Sylow 2-subgroup is elementary abelian.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
036025
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Profili:
Dean Crnković
(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 MATH
