关于有限亚循环2-群全形的整群环的一个注记

doi:10.6040/j.issn.1671-9352.0.2014.374

山东大学学报（理学版） ›› 2015, Vol. 50 ›› Issue (10): 40-42.doi: 10.6040/j.issn.1671-9352.0.2014.374

关于有限亚循环2-群全形的整群环的一个注记

李正兴, 杨舒先

青岛大学数学科学学院, 山东青岛 266071

收稿日期:2014-08-20 修回日期:2015-03-10 出版日期:2015-10-20 发布日期:2015-10-21
作者简介:李正兴(1974-),男,博士,副教授,研究方向为有限群整群环理论.E-mail:lzxlws@163.com
基金资助:
山东省优秀中青年科学家科研奖励基金(BS2012SF003);山东省高等学校科技计划项目(J14LI10);山东省高等学校优秀骨干教师国际合作培养项目(20140608)

Note on integral group rings of holomorphs of finite metacyclic 2-groups

LI Zheng-xing, YANG Shu-xian

College of Mathematics, Qingdao University, Qingdao 266071, Shandong, China

Received:2014-08-20 Revised:2015-03-10 Online:2015-10-20 Published:2015-10-21

摘要/Abstract

摘要： 设G是有限亚循环2-群,记/HolG为G的全形。证明了在整群环ZHolG中下面等式成立:N_U(ZHolG)(G)=G·Z(ZHolG)。

关键词: 整群环, 全形, 亚循环2-群

Abstract: Let G be a finite metacyclic 2-group and let HolG be its holomorph. It is proved that the equality N_U(ZHolG)(G)=G·Z(ZHolG) holds in the integral group ring ZHolG.

Key words: metacyclic 2-group, holomorph, integral group ring

中图分类号:

O152.1

李正兴, 杨舒先. 关于有限亚循环2-群全形的整群环的一个注记[J]. 山东大学学报（理学版）, 2015, 50(10): 40-42.

LI Zheng-xing, YANG Shu-xian. Note on integral group rings of holomorphs of finite metacyclic 2-groups[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(10): 40-42.

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关于有限亚循环2-群全形的整群环的一个注记

Note on integral group rings of holomorphs of finite metacyclic 2-groups

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