Infinite group

An infinite group occurs in the mathematical discipline of group theory . Infinite groups are those groups whose support amount an infinite number of elements contains. If the carrier set has only finitely many elements, one speaks of a finite group .

Examples

• The real numbers with addition ${\displaystyle (\mathbb {R} ,+)}$
• Lie groups
• The general linear group over infinite bodies

literature

• Eric W. Weisstein : InfiniteGroup . In: MathWorld (English).