Flag-transitive block designs with automorphism group S-n wr S-2 (CROSBI ID 252695)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Braić, Snježana ; Mandić, Joško ; Vučičić, Tanja
engleski
Flag-transitive block designs with automorphism group S-n wr S-2
In this paper we consider the possibility that groups Sn wr S2, 4<=n<=63, act flag- transitively on block designs with n**2 points. We rule out n from {; ; ; ; 7, 11, 15, 19, 23, 31, 35, 43, 47, 59}; ; ; ; and confirm the required action for other n in the given range through performing the construction of base blocks of the desired designs. Our construction makes use of flag-transitive incidence structures and weakly flag-transitive incidence structures.
Weakly flag-transitive incidence structure ; Levi graph ; Block design
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Podaci o izdanju
341 (8)
2018.
2220-2230
objavljeno
0012-365X
1872-681X
10.1016/j.disc.2018.04.026