Block - Transitive 2 - ( v , k , 1 ) Designs and Groups E 6 ( q ) Guang
نویسندگان
چکیده
This article is a contribution to the study of block-transitive automorphism groups of 2-(v, k, 1) block designs. Let D be a 2-(v, k, 1) design admitting a block-transitive, pointprimitive but not flag-transitive automorphism group G. Let kr = (k, v − 1) and q = p f for prime p. In this paper we prove that if G and D are as above and q > (3(krk − kr + 1)f) , then G does not admit a simple group E6(q) as its socle.
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