科研之友
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摘要
Let A be a finite group of odd order and let A act on a finite p-group P with vertical bar P vertical bar > p(e), where e is an integer e >= 4(e >= 5 if p = 2). In this paper we show that P is centralized by O-p(A(mu p2-1)) if every non-meta-cyclic subgroup of order pe in P is stabilized by Op(A). As applications, some conditions are given for a finite group G with the p-length <= 1 and the p-rank <= 2. We also find a class of finite p-groups, which is not only very useful for the paper but also has its independent meaning.
- 出版日期2017
- 单位上海大学
