| 吴艳,王志杰,花家杰.圈积的词长度公式[J].数学年刊A辑,2017,38(3):327~338 |
| 圈积的词长度公式 |
| The Word-Length Formula for Wreath Products |
| Received:July 13, 2014 Revised:October 14, 2016 |
| DOI：10.16205/j.cnki.cama.2017.0028 |
| 中文关键词: Word-length function, Wreath product, Finitely generated group |
| 英文关键词:Word-length function, Wreath product, Finitely generated group |
| 基金项目:本文受到国家自然科学基金(No.11301224,No.11226122,No.11401256,No.11501249)和浙江省自然科学基金(No.LQ12A01015)的资助. |
| Author Name | Affiliation | E-mail | | WU Yan | Corresponding author. College of Mathematics Physics and Information Engineering, Jiaxing University, Jiaxing 314001, Zhejiang, China. | 42460034@qq.com | | WANG Zhijie | College of Mathematics Physics and Information Engineering, Jiaxing University, Jiaxing 314001, Zhejiang, China. | wangzhijie112@gmail.com | | HUA Jiajie | College of Mathematics Physics and Information Engineering, Jiaxing University, Jiaxing 314001, Zhejiang, China. | huajiajie2006@sina.com |
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| 中文摘要: |
| 利用Fordham的技巧证明了圈积群$H\wr\mathbb{Z}$的一个词长度公式,
其中$H$是一个有限生成群, $\mathbb{Z}$是整数群. |
| 英文摘要: |
| The authors prove the word-length formula for the wreath product $H\wr\ZZ$ using the same technique as Fordham,
where $H$ is a finitely generated group and $\ZZ$ is the integral group. |
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