Block-Transitive 4-(v,k,4) Designs and Ree Groups - Advances in Pure Mathematics

APM > Vol.6 No.5, April 2016

Block-Transitive 4-(v,k,4) Designs and Ree Groups ()

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DOI: 10.4236/apm.2016.65022 1,870 Downloads 2,472 Views

Author(s)

Shaojun Dai^1*, Ruihai Zhang²

Affiliation(s)

¹Department of Mathematics, Tianjin Polytechnic University, Tianjin, China.
²Department of Mathematics, Tianjin University of Science and Technology, Tianjin, China.

ABSTRACT

This article is a contribution to the study of the automorphism groups of

designs. Let

be a non-trivial

design where

for some positive integer

, and

is block-transitive. If the socle of G is isomorphic to the simple groups of lie type

, then G is not flag-transitive.

KEYWORDS

Flag-Transitive, Block-Transitive, t-Design, Ree Group

Share and Cite:

Dai, S. and Zhang, R. (2016) Block-Transitive 4-(v,k,4) Designs and Ree Groups. Advances in Pure Mathematics, 6, 317-320. doi: 10.4236/apm.2016.65022.

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