Finite Groups with a Split Bn-pair of Rank 1. I*
نویسنده
چکیده
For / R 1 odd, this result has been proved by Shult [31]. The purpose of this paper is to prove Theorem 1. I when j Sz I is even. We remark that the groups listed in Theorem 1 .l all satisfy the hypotheses of the theorem. Also, sharply 2-transitive groups have been completely classified by Zassenhaus [44]. This theorem is one of a number of results of a similar nature. Zassenhaus groups are easily seen to satisfy the hypotheses of the theorem. The classification of Zassenhaus groups, due to Zassenhaus [43], Feit [lo], Ito [20] and Suzuki [33], is implicitly required in the proof. Suzuki [34-361 has considered
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