On prime-power groups in which the derived group has two generators
On prime-power groups in which the derived group has two generators
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DOI：
10.1017/s0305004100031959
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发表时间：
1957-01
影响因子：
0.8
通讯作者：
N. Blackburn
中科院分区：
文献类型：
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作者：
N. Blackburn
Burnside((1)，第241页)证明了如下定理：如果G是非亚交换p-群，则G的导子群的中心不是循环的。特别地，p3阶非阿贝尔群不可能是p-群的导子群。
Burnside ((1), p. 241) has proved the following theorem: If G is a non-metabelian p-group, then the centre of the derived group of G cannot be cyclic. In particular, a non-Abelian group of order p3 cannot be the derived group of a p-group.