Realizing finite groups in Euclidean space

被引：4

作者：

Albertson, MO ^{[1
]}

Boutin, DL

机构：

[1] Smith Coll, Dept Math, Northampton, MA 01063 USA

[2] Hamilton Coll, Dept Math, Clinton, NY 13323 USA

来源：

JOURNAL OF ALGEBRA | 2000年 / 225卷 / 02期

关键词：

D O I：

10.1006/jabr.1999.8189

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A set of points W in Euclidean space is said to realize the finite group G if the isometry group of W is isomorphic to G. We show that every finite group G can be realized by a finite subset of some R-n, with n < \G\. The minimum dimension of a Euclidean space in which G can be realized is called its isometry dimension. We discuss the isometry dimension of small groups and offer a number of open questions. (C) 2000 Academic Press.

引用

页码：947 / 956

页数：10

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