Totally disconnected group
This article defines a property that can be evaluated for a topological group (usually, a T0 topological group)
View a complete list of such properties
A topological group is termed totally disconnected if it satisfies the following equivalent conditions:
- Its underlying topological space is a totally disconnected space, i.e., the only non-empty connected subsets are singleton subsets.
- The connected component of identity is the trivial subgroup.