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

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).

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  • Department of Mathematics Tianjin Polytechnic University No. 399 Binshuixi Road, Xiqing District Tianjin, P.R.China e-mail: daishaojun@tjpu.edu.cn Kun Zhao School of Science, Jiamusi University Jiamusi, Heilongjiang, P.R.China e-mail: zhaokun197808@126.com