Schreier猜想下的思考

Think Under the Conjecture of Schreier

有限单群分类问题已经完成.因此,Schreier猜想也得到验证.但是,理论上的证明还未完成.本文在猜想成立下,做了思考,得到有限非交换单群的外自同构群可解的一个充分必要条件,并提出一个与理论证明Schreier猜想有关的问题.

As we all know, the classification of finite simple groups has been completed. Hence, the conjecture of Schreier can also be tested, giving a proof in theory doesn＇t finish. In this paper, I assume that the conjecture of Schreier is right and make a think, obtaining a sufficient and necessary condition of a simple group of a finite non-abelian group is solvable. At last, I put up a question corresponding to proving the conjecture of Schreier in theory.