nLab
topologically cyclic group

A topological group is called topologically cyclic or monothetic if there exists a dense cyclic subgroup.

Examples

  • Any finite cyclic group
  • The group of p-adic integers
  • Any torus (S 1) n(S^1)^n

Last revised on August 2, 2016 at 04:46:18. See the history of this page for a list of all contributions to it.