论文信息 - Flag-Transitive Subgroups of Chevalley Groups

Flag-Transitive Subgroups of Chevalley Groups

Publisher Summary Let G be a finite group of Chevalley type and B the Borel subgroup of G. If L ≤ G and G = BL, then L is said to be flagtransitive. D. Higman determined all flag-transitive subgroups of G in case G is of type A n . This chapter presents an extension of Higman's theorem to the case of a general group of Chevalley type. The result is used to show the nonexistence of 2-transitive permutation representations of certain groups of Chevalley type.

Gary M. Seitz

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