Definition:Torus Group

Definition

The torus group is the direct product of the circle group $C$ with itself:

$T := \struct {K, \times} \times \struct {K, \times}$

where:

$K = \set {z \in \C: \cmod z = 1}$

Sources

• 1967: George McCarty: Topology: An Introduction with Application to Topological Groups ... (previous) ... (next): Chapter $\text{II}$: Groups: Direct Products