BLOCK TRANSITIVE 2 − (v, 17, 1) DESIGNS AND REE GROUPS

Year 2012, Volume: 12 Issue: 12, 12 - 16, 01.12.2012

Shaojun Dai Kun Zhao

Abstract

This article is a contribution to the study of the automorphism
groups of 2 − (v, k, 1) designs. Let D be 2 − (v, 17, 1) design, G ≤ Aut(D) be
block transitive and point primitive. If G is unsolvable, then Soc(G), the socle
of G, is not 2G2(q).

Keywords

block transitive, design, Ree groups

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• Department of Mathematics Tianjin Polytechnic University No. 399 Binshuixi Road, Xiqing District Tianjin, P.R.China e-mail: [e-mail] Kun Zhao School of Science, Jiamusi University Jiamusi, Heilongjiang, P.R.China e-mail: [e-mail]