New large sets of t‐designs with prescribed groups of automorphisms |
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| Authors: | R. Laue G. R. Omidi B. Tayfeh‐Rezaie A. Wassermann |
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| Affiliation: | 1. Mathematical Department, University of Bayreuth, D‐95440 Bayreuth, Germany;2. Institute for Studies in Theoretical Physics and Mathematics (IPM), P.O. Box 19395‐5746, Tehran, Iran;3. Department of Mathematics, University of Tehran, Tehran, Iran |
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| Abstract: | ![]()
In this article, we investigate the existence of large sets of 3‐designs of prime sizes with prescribed groups of automorphisms PSL(2,q) and PGL(2,q) for q < 60. We also construct some new interesting large sets by the use of the computer program DISCRETA. The results obtained through these direct methods along with known recursive constructions are combined to prove more extensive theorems on the existence of large sets. © 2006 Wiley Periodicals, Inc. J Combin Designs 15: 210–220, 2007 |
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| Keywords: | t‐designs large sets of t‐designs automorphism groups recursive constructions direct constructions |
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