Glasnik matematički, Vol. 50 No. 1, 2015.
Original scientific paper
https://doi.org/10.3336/gm.50.1.01
Primitive block designs with automorphism group PSL(2,Q)
Snježana Braić
; Department of Mathematics, University of Split, Teslina 12/III, 21000 Split, Croatia
Joško Mandić
; Department of Mathematics, University of Split, Teslina 12/III, 21000 Split, Croatia
Tanja Vučičić
orcid.org/0000-0003-1574-6297
; Department of Mathematics, University of Split, Teslina 12/III, 21000 Split, Croatia
Abstract
We present the results of a research which aims to determine, up to isomorphism and complementation, all primitive block designs with the projective line Fq∪{∞} 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=p2α3β, α,β nonnegative integers.
Keywords
Block design; automorphism group; primitive action
Hrčak ID:
140078
URI
Publication date:
15.6.2015.
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