广义二面体群的Coleman自同构群

doi:10.6040/j.issn.1671-9352.0.2020.148

《山东大学学报(理学版)》 ›› 2020, Vol. 55 ›› Issue (12): 37-39.doi: 10.6040/j.issn.1671-9352.0.2020.148

• • 上一篇

广义二面体群的Coleman自同构群

吴洪毅,海进科^*

青岛大学数学与统计学院, 山东青岛 266071

发布日期:2020-12-01
作者简介:吴洪毅(1995— ),男,硕士研究生,研究方向为有限群理论及其表示. E-mail:1624862997@qq.com *通信作者简介:海进科(1964— ),男,博士,教授,研究方向为有限群理论及其表示. E-mail:haijinke2002@aliyun.com
基金资助:
国家自然科学基金资助项目(11871292)

On Coleman automorphism groups of generalized dihedral groups

WU Hong-yi, HAI Jin-ke^*

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

Published:2020-12-01

摘要/Abstract

摘要： 利用群的射影极限性质给出了广义二面体群的Coleman外自同构群或者是1或者是一个初等阿贝尔2-群。

关键词: 射影极限, Coleman自同构, 内自同构

Abstract: It is proved that Coleman outer automorphism group of a generalized dihedral group is either 1 or an elementary abelian 2-group by using the projection limit property of the group.

Key words: projection limit, Coleman automorphism, inner automorphism

中图分类号:

O152.1

吴洪毅,海进科. 广义二面体群的Coleman自同构群[J]. 《山东大学学报(理学版)》, 2020, 55(12): 37-39.

WU Hong-yi, HAI Jin-ke. On Coleman automorphism groups of generalized dihedral groups[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2020, 55(12): 37-39.

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广义二面体群的Coleman自同构群

On Coleman automorphism groups of generalized dihedral groups

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