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

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

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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.

作者郝成功靳竹萱

机构地区 School of Mathematical Sciences School of Mathematical Sciences

出处《Acta Mathematica Scientia》 SCIE CSCD 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)

关键词 finite p-group self-centralizing cyclic normal subgroup 2-nilpotent group cohomology group irreducible complex character finite p-group self-centralizing cyclic normal subgroup 2-nilpotent group cohomology group irreducible complex character

分类号 O152 [理学—基础数学]

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Acta Mathematica Scientia

2013年第1期

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

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