Articles

FINITE p-GROUPS WHICH CONTAIN A SELF-CENTRALIZING CYCLIC NORMAL SUBGROUP

  • HAO Cheng-Gong ,
  • JIN Zhu-Xuan
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  • School of Mathematical Sciences, Shanxi University, Taiyuan 030006, China; School of Mathematical Sciences, Peking University, Beijing 100871, China

Received date: 2011-10-09

  Online published: 2013-01-20

Supported by

Supported by the NSF of China (11171194) and by the NSF of Shanxi Province (2012011001-1).

Abstract

For any prime p, all finite noncyclic p-groups which contain a self-centralizing cyclic normal subgroup are determined by using cohomological techniques. Some applica-tions are given, including a character theoretic description for such groups.

Cite this article

HAO Cheng-Gong , JIN Zhu-Xuan . FINITE p-GROUPS WHICH CONTAIN A SELF-CENTRALIZING CYCLIC NORMAL SUBGROUP[J]. Acta mathematica scientia, Series B, 2013 , 33(1) : 131 -138 . DOI: 10.1016/S0252-9602(12)60199-4

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Outlines

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