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]

[7896] **Fischer, Gerd**: “Lehrbuch der Algebra”, Springer Spektrum, 2017, 4. Auflage