| 圈积的词长度公式 |
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| 引用本文： | 吴艳,王志杰,花家杰.圈积的词长度公式[J].数学年刊A辑(中文版),2017,38(3):327-338. |
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| 作者姓名： | 吴艳 王志杰 花家杰 |
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| 作者单位： | 通讯作者. 嘉兴学院数理与信息工程学院, 浙江 嘉兴 314001.,嘉兴学院数理与信息工程学院, 浙江 嘉兴 314001.,嘉兴学院数理与信息工程学院, 浙江 嘉兴 314001. |
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| 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. |
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| 摘 要： | 利用Fordham的技巧证明了圈积群HιZ的一个词长度公式,其中H是一个有限生成群,Z是整数群.
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| 关 键 词： | Word-length function Wreath product Finitely generated group |
| 收稿时间： | 2014/7/13 0:00:00 |
| 修稿时间： | 2016/10/14 0:00:00 |
The Word-Length Formula for Wreath Products |
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| WU Yan,WANG Zhijie and HUA Jiajie.The Word-Length Formula for Wreath Products[J].Chinese Annals of Mathematics,2017,38(3):327-338. |
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| Authors: | WU Yan WANG Zhijie and HUA Jiajie |
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| Institution: | Corresponding author. College of Mathematics Physics and Information Engineering, Jiaxing University, Jiaxing 314001, Zhejiang, China.,College of Mathematics Physics and Information Engineering, Jiaxing University, Jiaxing 314001, Zhejiang, China. and College of Mathematics Physics and Information Engineering, Jiaxing University, Jiaxing 314001, Zhejiang, China. |
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| Abstract: | 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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| Keywords: | Word-length function Wreath product Finitely generated group |
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