Pregled bibliografske jedinice broj: 679826
On the number of primitive designs on projective line and their antiflag-transitivity
On the number of primitive designs on projective line and their antiflag-transitivity // Peti hrvatski matematički kongres
Rijeka, Hrvatska, 2012. (predavanje, nije recenziran, sažetak, znanstveni)
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Naslov
On the number of primitive designs on projective line and their antiflag-transitivity
Autori
Vučičić, Tanja ; Mandić, Joško ; Braić, Snježana
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Skup
Peti hrvatski matematički kongres
Mjesto i datum
Rijeka, Hrvatska, 18.07.2012. - 21.07.2012
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Nije recenziran
Ključne riječi
block design; primitive automorphism group; antiag-transitivity
Sažetak
We have considered, up to isomorphism and complementation, the construction of primitive block designs on projective line, i.e. designs with an automorphism group acting primitively on both point and block set. For q ≥13, q ≠23 the proved properties can roughly be put as follows. 1. There exist exactly one infinite series of primitive, flag-transitive designs with the base block stabilizer in the second Aschbacher's class, that being for q ≡1(mod 4) ; 2. There exist exactly one in.nite series of primitive, both flag and antiflag- transitive designs with the base block stabilizer in the third Aschbacher's class, that being for q ≡1(mod 4) ; 3. There exist exactly two in.nite series of primitive, both flag and antiflag-transitive designs with the base block stabilizer in the .fth Aschbacher's class. 4. There exist exactly 9 primitive, antiflag-transitive designs with the base block stabilizer in the sixth Aschbacher's class. 5. There exist exactly 8 primitive, antiflag-transitive designs with the base block stabilizer in the ninth Aschbacher's class.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
177-0000000-0882 - Tranzitivne grupe i s njima povezane diskretne strukture (Golemac, Anka, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Split