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Pregled bibliografske jedinice broj: 799966

Primitive Block Designs with Automorphism Group PSL(2, q)


Braić, Snježana; Mandić, Joško; Vučičić, Tanja
Primitive Block Designs with Automorphism Group PSL(2, q) // Glasnik matematički, 50 (2015), 1; 1-15 doi:10.3336/gm.50.1.01 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 799966 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Primitive Block Designs with Automorphism Group PSL(2, q)

Autori
Braić, Snježana ; Mandić, Joško ; Vučičić, Tanja

Izvornik
Glasnik matematički (0017-095X) 50 (2015), 1; 1-15

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Block design ; Automorphism group ; Primitive action

Sažetak
We present the results of a research which aims to determine, up to isomorphism and complementation, all primitive block designs with the projective line F-q boolean OR {;infinity}; as the set of points and PSL (2, q) as an automorphism group. The obtained designs are classified by the type of a block stabilizer. The results are complete, except for the designs with block stabilizers in the fifth Aschbacher's class. In particular, the problem is solved if q is a prime. We include formulas for the number of such designs with q - p(2 alpha 3 beta), alpha, beta nonnegative integers.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
MZOS-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)

Poveznice na cjeloviti tekst rada:

doi hrcak.srce.hr

Citiraj ovu publikaciju:

Braić, Snježana; Mandić, Joško; Vučičić, Tanja
Primitive Block Designs with Automorphism Group PSL(2, q) // Glasnik matematički, 50 (2015), 1; 1-15 doi:10.3336/gm.50.1.01 (međunarodna recenzija, članak, znanstveni)
Braić, S., Mandić, J. & Vučičić, T. (2015) Primitive Block Designs with Automorphism Group PSL(2, q). Glasnik matematički, 50 (1), 1-15 doi:10.3336/gm.50.1.01.
@article{article, author = {Brai\'{c}, Snje\v{z}ana and Mandi\'{c}, Jo\v{s}ko and Vu\v{c}i\v{c}i\'{c}, Tanja}, year = {2015}, pages = {1-15}, DOI = {10.3336/gm.50.1.01}, keywords = {Block design, Automorphism group, Primitive action}, journal = {Glasnik matemati\v{c}ki}, doi = {10.3336/gm.50.1.01}, volume = {50}, number = {1}, issn = {0017-095X}, title = {Primitive Block Designs with Automorphism Group PSL(2, q)}, keyword = {Block design, Automorphism group, Primitive action} }
@article{article, author = {Brai\'{c}, Snje\v{z}ana and Mandi\'{c}, Jo\v{s}ko and Vu\v{c}i\v{c}i\'{c}, Tanja}, year = {2015}, pages = {1-15}, DOI = {10.3336/gm.50.1.01}, keywords = {Block design, Automorphism group, Primitive action}, journal = {Glasnik matemati\v{c}ki}, doi = {10.3336/gm.50.1.01}, volume = {50}, number = {1}, issn = {0017-095X}, title = {Primitive Block Designs with Automorphism Group PSL(2, q)}, keyword = {Block design, Automorphism group, Primitive action} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Citati:





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