Generating automorphism groups of chains

被引：31

作者：

Droste, M ^{[1
]}

Holland, WC

机构：

[1] Tech Univ Dresden, Inst Algebra, D-01062 Dresden, Germany

[2] Bowling Green State Univ, Dept Math & Stat, Bowling Green, OH 43403 USA

来源：

FORUM MATHEMATICUM | 2005年 / 17卷 / 04期

关键词：

D O I：

10.1515/form.2005.17.4.699

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let (Omega, <=) be any doubly homogeneous chain and Aut(Omega) its group of order-automorphisms. We show that if J is a set of generators of Aut(Omega), then there is a positive integer n such that every element of Aut(Omega) is a product of at most n members of J boolean OR J(-1). Also, Aut(Omega) cannot be written as the union of a countable chain of proper subgroups of Aut(Omega).

引用

页码：699 / 710

页数：12

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