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## Definition: Group Order

The order of a group $(G,\ast)$ is the cardinality of the set $G.$ It is denoted by $|G|.$ We call $G$ a finite group, if $|G|$ is finite. Otherwise we call $G$ an infinite group.

| | | | | created: 2019-02-12 18:46:13 | modified: 2019-08-04 08:00:11 | by: bookofproofs | references: [7896]