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

doi:10.1016/S0252-9602(12)60199-4

数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (1): 131-138.doi: 10.1016/S0252-9602(12)60199-4

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

郝成功|靳竹萱

School of Mathematical Sciences, Shanxi University, Taiyuan 030006, China； School of Mathematical Sciences, Peking University, Beijing 100871, China

收稿日期:2011-10-09 出版日期:2013-01-20 发布日期:2013-01-20
基金资助:
Supported by the NSF of China (11171194) and by the NSF of Shanxi Province (2012011001-1).

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

HAO Cheng-Gong, JIN Zhu-Xuan

School of Mathematical Sciences, Shanxi University, Taiyuan 030006, China； School of Mathematical Sciences, Peking University, Beijing 100871, China

Received:2011-10-09 Online:2013-01-20 Published:2013-01-20
Supported by:
Supported by the NSF of China (11171194) and by the NSF of Shanxi Province (2012011001-1).

摘要/Abstract

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 applica-tions 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

Abstract:

Key words: finite p-group, self-centralizing cyclic normal subgroup, 2-nilpotent group, cohomology group, irreducible complex character

中图分类号:

20D15

郝成功, 靳竹萱. FINITE p-GROUPS WHICH CONTAIN A SELF-CENTRALIZING CYCLIC NORMAL SUBGROUP[J]. 数学物理学报(英文版), 2013, 33(1): 131-138.

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.

[1]	叶轩明. THE JUMPING PHENOMENON OF THE DIMENSIONS OF COHOMOLOGY GROUPS OF TANGENT SHEAF[J]. 数学物理学报(英文版), 2010, 30(5): 1746-1758.
[2]	侯成军; 魏翠萍. COMPLETELY BOUNDED COHOMOLOGY OF NON-SELFADJOINT OPERATOR ALGEBRAS[J]. 数学物理学报(英文版), 2007, 27(1): 25-33.

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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