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Pregled bibliografske jedinice broj: 679826

On the number of primitive designs on projective line and their antifl‡ag-transitivity


Vučičić, Tanja; Mandić, Joško; Braić, Snježana
On the number of primitive designs on projective line and their antifl‡ag-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 antifl‡ag-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; anti‡ag-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

Profili:

Avatar Url Snježana Braić (autor)

Avatar Url Tanja Vučičić (autor)

Avatar Url Joško Mandić (autor)


Citiraj ovu publikaciju:

Vučičić, Tanja; Mandić, Joško; Braić, Snježana
On the number of primitive designs on projective line and their antifl‡ag-transitivity // Peti hrvatski matematički kongres
Rijeka, Hrvatska, 2012. (predavanje, nije recenziran, sažetak, znanstveni)
Vučičić, T., Mandić, J. & Braić, S. (2012) On the number of primitive designs on projective line and their antifl‡ag-transitivity. U: Peti hrvatski matematički kongres.
@article{article, author = {Vu\v{c}i\v{c}i\'{c}, Tanja and Mandi\'{c}, Jo\v{s}ko and Brai\'{c}, Snje\v{z}ana}, year = {2012}, keywords = {block design, primitive automorphism group, anti‡ag-transitivity}, title = {On the number of primitive designs on projective line and their antifl‡ag-transitivity}, keyword = {block design, primitive automorphism group, anti‡ag-transitivity}, publisherplace = {Rijeka, Hrvatska} }
@article{article, author = {Vu\v{c}i\v{c}i\'{c}, Tanja and Mandi\'{c}, Jo\v{s}ko and Brai\'{c}, Snje\v{z}ana}, year = {2012}, keywords = {block design, primitive automorphism group, anti‡ag-transitivity}, title = {On the number of primitive designs on projective line and their antifl‡ag-transitivity}, keyword = {block design, primitive automorphism group, anti‡ag-transitivity}, publisherplace = {Rijeka, Hrvatska} }




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