Divisibility in certain automorphism groups

被引：3

作者：

Lafuente-Rodriguez, Ramiro H. ^{[1
]}

机构：

[1] Univ Mayor San Andres, La Paz, Bolivia

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2007年 / 57卷 / 03期

关键词：

totally ordered groups; ordered automorphisms; divisible groups; archimedean rank;

D O I：

10.1007/s10587-007-0081-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study solvability of equations of the form x(n) = g in the groups of order automorphisms of archimedian-complete totally ordered groups of rank 2. We determine exactly which automorphisms of the unique abelian such group have square roots, and we describe all automorphisms of the general ones.

引用

页码：865 / 875

页数：11