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

作　　者：郝成功 靳竹萱 

机构地区：[1]School of Mathematical Sciences,Shanxi University [2]School of Mathematical Sciences,Peking University

出　　处：《Acta Mathematica Scientia》2013年第1期131-138,共8页数学物理学报（B辑英文版）

基　　金：Supported by the NSF of China(11171194);by the NSF of Shanxi Province(2012011001-1)

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

关 键 词：finite p-group self-centralizing cyclic normal subgroup 2-nilpotent group cohomology group irreducible complex character 

分 类 号：O152[理学—数学]