正则轨道的存在性与有限群的幂零长

The Existence of Regular Order and the Nilpotency Length of Finite Groups

中文关键词:  可解群, 幂零长, 正则轨道.

英文关键词:solvable groups, nilpotency length, regular orbit.

中文摘要:

      本文给出了一些正则轨道存在性的条件，结合Ａ．Ｔｕｒｕｌｌ的近期定理，得到了关于有限可解群的幂零长的一些结论．

英文摘要:

      We give some criterions for the existence of regular orbits. Combine with Turull′s theorems, we get some recults on nilpstency length of finite solvable groups.