摘要
本文研究准素子群正规化子有素数幂指数的有限群,证明了:如果一个有限群G的所有准素子群的正规化子有素数幂指数,则对于任意素数p,G的p-长小于等于1.
In this paper, we study finite groups in which the index of the no rm alizer of every primary subgroup is a prime power and prove that the bound of th e p-length of any such group G is at most 1 for every prime p.
出处
《淮北煤师院学报(自然科学版)》
2003年第3期1-4,共4页
Journal of Huaibei Teachers College(Natural Sciences Edition)
基金
国家自然科学基金资助项目(10171086)