The discrete elementary groups

Qing Zhou

The discrete elementary groups

Qing Zhou^*

^*此作品的通讯作者

数学科学学院

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

This paper discusses discrete elementary subgroups in the Mobius group M(R ̂ⁿ). With a help of geometry, it is proved that these groups are isomorphic to either a group extension of Z by a finite subgroup of SO(n) or an extension of a finite group by a free Abelian group of rank k ≤ n.

源语言	英语
页（从-至）	1047-1053
页数	7
期刊	Science in China Series A-Mathematics Physics Astronomy and Technological Science
卷	36
期	9
出版状态	已出版 - 9月 1993

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引用此

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title = "The discrete elementary groups",

abstract = "This paper discusses discrete elementary subgroups in the Mobius group M(R{\^ }n). With a help of geometry, it is proved that these groups are isomorphic to either a group extension of Z by a finite subgroup of SO(n) or an extension of a finite group by a free Abelian group of rank k ≤ n.",

keywords = "Bieberbach group, Euclidean geometry orbifold, Mobius group, elementary group",

author = "Qing Zhou",

year = "1993",

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language = "英语",

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journal = "Science in China Series A-Mathematics Physics Astronomy and Technological Science",

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T1 - The discrete elementary groups

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AB - This paper discusses discrete elementary subgroups in the Mobius group M(R ̂n). With a help of geometry, it is proved that these groups are isomorphic to either a group extension of Z by a finite subgroup of SO(n) or an extension of a finite group by a free Abelian group of rank k ≤ n.

KW - Bieberbach group

KW - Euclidean geometry orbifold

KW - Mobius group

KW - elementary group

UR - https://www.scopus.com/pages/publications/21644478392

M3 - 文章

AN - SCOPUS:21644478392

SN - 1001-6511

VL - 36

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EP - 1053

JO - Science in China Series A-Mathematics Physics Astronomy and Technological Science

JF - Science in China Series A-Mathematics Physics Astronomy and Technological Science

IS - 9

ER -

The discrete elementary groups

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