A THEOREM ON METABELIAN p-GROUPS AND SOME CONSEQUENCES
Citation：
Xu Mingyao.A THEOREM ON METABELIAN p-GROUPS AND SOME CONSEQUENCES[J].Chinese Annals of Mathematics B,1984,5(1):1~6
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Authors：
Xu Mingyao;
Abstract：
This paper introduces a new characteristic $\[\xi (G)\]$ for a finite p-Group G, called the p-center of G(Definition 1). A property of p-centers for metabelian p-groups(Theorem 1) is proved. Applying this theorem to regular and p-abelian p-groups, we obtain several known results for these groups once again (Theorem 2, 3 and 6).
