The 2 − ( v , 10 , 1 ) Designs with Soluble Block - Transitive Automorphism 1
نویسندگان
چکیده
Let G be a soluble block-transitive automorphism group of 2 − (v, 10, 1) design D. Then G is point-primitive and one of the following holds: (1)if 5 v, then v = pn and G ≤ AΓL(1, pn), where p = 2 is a prime and n a positive integer, and pn ≡ 1(mod90); (2) if 5 | v, then v = 5n, G ≤ AΓL(1, 5n), where n is a positive integer, and pn ≡ 1(mod18) Mathematics Subject Classification: 05B05, 20B25
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