对于有限群的幂零性的研究已受到很多群论专家的关注。
One of the important problems in the theory of finite groups is to study the effect of nilpotency on the finite groups.
给出了所有准素子群的正规化子有素数幂指数的有限群的幂零长的界。
The bounds of nilpotent lengths of finite groups with normalizers of primary subgroups having prime power indices are obtained.
群论研究的一个重要问题是对有限群的p—幂零性对有限群结构的影响。
Burnside asserts, if any sylow p-subgroup P of a finite G lies in the center of its normalizer, then G isp-nilpotent.
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