Free groups of quaternions

被引：1

作者：

D'Alessandro, F ^{[1
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2004年 / 14卷 / 01期

关键词：

skew field of quaternions; free groups;

D O I：

10.1142/S0218196704001669

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the study of the free noncommutative group in the multiplicative group of the skewfield of the real Hamilton quaternions. The main results proved in this paper allows us to obtain the following interesting corollary: let G be a subgroup of rational quaternions. Then G is either solvable or contains the free noncommutative group.

引用

页码：69 / 86

页数：18

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