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: 
 Fischer, Gerd: “Lehrbuch der Algebra”, Springer Spektrum, 2017, 4. Auflage