| 刘合国,高 睿,徐行忠,廖 军.一类无限 C^ernikov p-群的自同构群*[J].数学年刊A辑,2022,43(1):73~94 |
| 一类无限 C^ernikov p-群的自同构群* |
| Automorphism Groups of a Class of Infinite ernikov p-Groups |
| Received:September 07, 2020 Revised:July 10, 2021 |
| DOI：10.16205/j.cnki.cama.2022.0005 |
| 中文关键词: C^ernikov p-群, 中心积, 辛群, 自同构 |
| 英文关键词:Cernikov p-groups, Central product, Symplectic group, Automorphism |
| 基金项目:国家自然科学基金 (No. 11771129, No. 11971155, No. 12071117) |
| Author Name | Affiliation | | LIU Heguo | School of Mathematics and Statistics, Hubei University, Wuhan 430062, China. | | 高 睿 | Corresponding author. School of Mathematics and Statistics, Hubei University, Wuhan 430062, China. | | XU Xingzhong | School of Mathematics and Statistics, Hubei University, Wuhan 430062, China. | | 廖 军 | School of Mathematics and Statistics, Hubei University, Wuhan 430062, China. |
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| 中文摘要: |
| 设 G 是无限 C^ernikov p-群, 且 G 的每个真商群是 Abel 群, 但 G 不是 Abel 群, 本文确定了 G 的自同构群. |
| 英文摘要: |
| Let G be an infinite ˇCernikov p-group, and every proper quotient group of G be Abelian but G not be Abelian, the automorphism group of G is determined in this paper. |
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