Let k greater than or equal to 3 be a fixed positive integer and (G,s) be a pair, where s is a 2-(r, k, 1) design and G is a group of automorphisms of s such that G is solvable and block-transitive on s. If r > (k(3 4) + 1)((p k k - 1)), then r is a power of a prime number p and G is flag-transitive or G less than or equal to ATL(l, r). (C) 2001 Academic Press. [References: 10]
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机译：令k大于或等于3为固定正整数，（G，s）为对，其中s为2-（r，k，1）设计，G为s的一组自同构，使得G为在s上是可解的并且是块传递的。如果r>（k（3 4）+1）（（p k k-1）），则r是质数p的幂，并且G是标志传递的或G小于或等于ATL（l ，r）。 （C）2001学术出版社。 [参考：10]
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