作者
David C Hunt, Sidney A Morris
发表日期
2006/8/26
来源
Proceedings of the Second International Conference on The Theory of Groups: Australian National University, August 13–24, 1973
页码范围
377-387
出版商
Springer Berlin Heidelberg
简介
It is well known that every subgroup of a free group is a free group. However, it is not true in general that a subgroup of a free topological group is a free topological group.
It is shown that if X is the open unit interval (0, 1) and Y is the closed unit interval [0, 1] then the subgroup of the free topological group on Y generated by X is not a free topological group. On the other hand it is shown here that the commutator subgroup of the free topological group on Y is a free topological group.
引用总数
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学术搜索中的文章
DC Hunt, SA Morris - Proceedings of the Second International Conference …, 2006