Pregled bibliografske jedinice broj: 799966
Primitive Block Designs with Automorphism Group PSL(2, q)
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)
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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
Citiraj ovu publikaciju:
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