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Ars Combinatoria

  • Research article

A New Technique for Constructing Pairwise Balanced Designs From Groups

A. Abdollahi1, H.R. Maimani2
1Department of Mathematics, University of Isfahan, Isfahan, and Institute for Studies in Theoretical Physics and Mathematics (IPM), Tehran, Iran.
2Center of Excellence in Biomathematics, School of Mathematics, Statistics, and Computer Science, University of Tehran, and Institute for Studies in Theoretical Physics and Mathematics (IPM), Tehran, Iran.
  • Published: 31/01/2008

Abstract

We introduce a new technique for constructing pairwise balanced designs and group divisible designs from finite groups. These constructed designs do not yield designs with new parameters, but our construction gives rise to designs having a transitive automorphism group that also preserves the resolution classes.

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Citation
A. Abdollahi, H.R. Maimani. A New Technique for Constructing Pairwise Balanced Designs From Groups[J], Ars Combinatoria, Volume 086. 409-413. .