Various subgroups of Aut(Cn)${\rm{Aut}}({\mathbb{C}}boolean AND{n})$

doi:10.1112/plms.12501

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	Various subgroups of Aut(Cn)${\rm{Aut}}({\mathbb{C}}boolean AND{n})$
	Lin, Zhangli 1,2; Zhou, Xiangyu 3,4,5,6
	2022-12-26
发表期刊	PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY
ISSN	0024-6115
页码	20
摘要	In this paper, using ideas of Andersen and Lempert on the group of holomorphic automorphisms Aut(Cn)${\rm{Aut}}({\mathbb{C}}<^>{n})$ (n > 2$n\geqslant 2$), we prove that the subgroups in Aut(Cn)${\rm{Aut}}({\mathbb{C}}<^>{n})$ and Autsp(C2n)${\rm{Aut}}_{\rm{sp}}({\mathbb{C}}<^>{2n})$ (n > 2$n\geqslant 2$) generated by different types of 'shears' are all distinct, which answer affirmatively to two conjectures posed by Forstneric.
DOI	10.1112/plms.12501
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China ; [11688101] ; [12288201]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000902384300001
出版者	WILEY
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60468
专题	中国科学院数学与系统科学研究院
通讯作者	Zhou, Xiangyu
作者单位	1.Yanqi Lake Beijing Inst Math Sci & Applicat, Beijing, Peoples R China 2.Tsinghua Univ, Yau Math Sci Ctr, Beijing, Peoples R China 3.Acad Mil Med Sci, Inst Math, Beijing, Peoples R China 4.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing, Peoples R China 5.Acad Mil Med Sci, Inst Math, Beijing 100190, Peoples R China 6.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Lin, Zhangli,Zhou, Xiangyu. Various subgroups of Aut(Cn)${\rm{Aut}}({\mathbb{C}}boolean AND{n})$[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY,2022:20.
APA	Lin, Zhangli,&Zhou, Xiangyu.(2022).Various subgroups of Aut(Cn)${\rm{Aut}}({\mathbb{C}}boolean AND{n})$.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY,20.
MLA	Lin, Zhangli,et al."Various subgroups of Aut(Cn)${\rm{Aut}}({\mathbb{C}}boolean AND{n})$".PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY (2022):20.