Frontiers of Mathematics in China >

2011 , Vol. 6 >Issue 5: 835 - 845

DOI: https://doi.org/10.1007/s11464-011-0154-5

RESEARCH ARTICLE

Nonexistence of block-transitive 6-designs

  • Jing CHEN 1 ,
  • Weijun LIU , 2
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  • 1. School of Mathematics, Central South University, Changsha 410075, China
  • 2. School of Science, Nantong University, Nantong 226007, China

Received date: 12 Apr 2011

Accepted date: 28 Jul 2011

Published date: 01 Oct 2011

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

In this paper, we prove that there are no nontrivial block-transitive 6-designs for k≤100. This supports the long-standing conjecture of Cameron and Praeger that there are no nontrivial block-transitive 6-designs.

Key words： Cameron-Praeger conjecture; block-transitive design; affine group; almost simple group

Cite this article

Jing CHEN , Weijun LIU . Nonexistence of block-transitive 6-designs[J]. Frontiers of Mathematics in China, 2011 , 6(5) : 835 -845 . DOI: 10.1007/s11464-011-0154-5

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