| 自同构群的阶为2~tp~2(p为奇素数)的有限Abel群G |
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| 引用本文： | 余红宴.自同构群的阶为2~tp~2(p为奇素数)的有限Abel群G[J].信阳师范学院学报(自然科学版),2011,24(3):287-291. |
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| 作者姓名： | 余红宴 |
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| 作者单位： | 湖北师范学院数学与统计学院,湖北黄石,435002 |
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| 基金项目： | 湖北省自然科学基金项目，湖北师范学院研究生科研启动基金 |
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| 摘 要： | 利用有限Abel群G的自同构群的阶和有限Abel群的性质,研究了自同构群A(G)阶为2tp2(t=1,2,3,p为奇素数)的有限Abel群G的构造.获得以下结果:当t=1时,G最多有4型;当t=2时,G最多有12型;当t=3时,G最多有21型.
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| 关 键 词： | 自同构 Abel群 群构造 欧拉函数 |
Finite Abelian Group with Automorphism Group for Order 2tp2(p is odd prime) |
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| YU Hong-yan.Finite Abelian Group with Automorphism Group for Order 2tp2(p is odd prime)[J].Journal of Xinyang Teachers College(Natural Science Edition),2011,24(3):287-291. |
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| Authors: | YU Hong-yan |
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| Institution: | YU Hong-yan(College of Mathematics and Statistic,Hubei Normal University,Huangshi 435002,China) |
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| Abstract: | The structures of finite Abelian group G with automorphism group A(G) for the order 2tp2(t=1,2,3 p is odd prime)are discussed.According to the order of automorphism group of finite abelian group and the character of finite abelian group,the following results are obtained:G has 4 types when t=1;G has 12 types when t=2;G has 21 types when t=3. |
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| Keywords: | automorphism Abelian group structure of group Euler function |
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