Subgroups of monothetic groups

Details Subgroups of monothetic groups Subgroups of monothetic groups

1999-07-21

arxiv.org/abs/math/9907128v1

Journal of Group Theory 3 (2000), 407-417.

Mathematics

General Topology

10 pages, LaTeX 2e

Scientific paper

It is shown that every separable abelian topological group is isomorphic with a topological subgroup of a monothetic group (that is, a topological group with a single topological generator). In particular, every separable metrizable abelian group embeds into a metrizable monothetic group. More generally, we describe all topological groups that can be embedded into monothetic groups: they are exactly abelian topological groups of weight $\leq\frak c$ covered by countably many translations of every nonempty open subset.

Affiliated with

Also associated with

No associations

Rating

Subgroups of monothetic groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Subgroups of monothetic groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Subgroups of monothetic groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-361304