Finite Group with Two Supersolvable Subgroups of Coprime Indices  

作　　者：王坤仁 

出　　处：《Northeastern Mathematical Journal》2001年第2期221-225,共5页东北数学（英文版）

摘　　要：In this paper, we obtain some classification theorems of finite simple groups with two subgroups of coprime indices which are both supersolvable or one supersolvable and the other nilpotent. Using these classification theorems, we prove some sufficient conditions of finite solvable groups. Finally, we provide a supplement of Doerks Theorem.In this paper, we obtain some classification theorems of finite simple groups with two subgroups of coprime indices which are both supersolvable or one supersolvable and the other nilpotent. Using these classification theorems, we prove some sufficient conditions of finite solvable groups. Finally, we provide a supplement of Doerks Theorem.

关 键 词：solvable group supersolvable group simple group INDEX 

分 类 号：O152[理学—数学]