A characterization of finite simple groups by the orders of solvable subgroups

作者：Denecke Klaus; Li Xian hua^*; Bi Jian xing

来源：Science in China Series A-Mathematics, 2007, 50(5): 715-726.

DOI：10.1007/s11425-007-0024-5

• finite simple groups
• solvable subgroup
• order
• characterization

Let G be a finite group and S be a finite simple group. In this paper, we prove that if G and S have the same sets of all orders of solvable subgroups, then G is isomorphic to S, or G and S are isomorphic to B.(q), C,(q), where n >= 3 and q is odd. This gives a positive answer to the problem put forward by Abe and Iiyori.

• 出版日期2007-5
• 单位辽宁大学