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Mathematica Moravica
2009, vol. 13, iss. 1, pp. 37-41
article language: English
document type: Original Scientific Paper
doi:10.5937/MatMor0901037M
Some new 2-designs from a wreath product on 18 points
aUniversity of Novi Sad, Faculty of Agriculture
bUniversity of Novi Sad, Faculty of Technology

e-mail: snmk@polj.ns.ac.rs

Abstract

The total of 22 2-designs on 18 points have been found. All these designs have the same group as an automorphism group. This group can be represented as the wreath product of G and H, where G denotes the subgroup of order 3 of PSL(2,2) and H denotes the subgroup of order 12 of PSL(2,5). The 2-(18,7,42·s) designs for s ε {15, 19, 25, 27, 30, 37, 38, 50} and the 2-(18,8,28·s) designs for s ε {27, 44, 46, 48, 50, 53, 54, 57, 59, 61, 73, 77, 80, 81} have been detected. Up to our knowledge, 16 of these 22 found designs are new. 2000 Mathematics Subject Classification. Primary: 05B05; Secondary: 65D17.

Keywords

designs; wreath product; automorphism group

References

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