Continuous Group (original) (raw)

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Alphabetical Index New in MathWorld

• Algebra
• Group Theory
• Groups

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.

See also

Finite Group

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Cite this as:

Weisstein, Eric W. "Continuous Group." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ContinuousGroup.html

Subject classifications

• Algebra
• Group Theory
• Groups