A group having continuous group operations. A continuous group is necessarily infinite, since an infinite group just has to contain an infinite number of elements. But some infinite groups, such as the integers or rationals, are not continuous groups.
Continuous Group
See also
Finite Group, Infinite GroupExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Continuous Group." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ContinuousGroup.html