Изменения
→пример решения задачи
запишем таблицу умножения для <tex>G</tex>:
{| border="2" cellpadding="8" align="center"
!style="background:#efefef;"| *
!style="background:#efefef;"| <big>e</big>
!style="background:#efefef;"| <big>a</big>
!style="background:#efefef;"| <big>b</big>
!style="background:#efefef;"| <big>ab</big>
!style="background:#efefef;"| <big>ba</big>
!style="background:#efefef;"| <big>aa</big>
!style="background:#efefef;"| <big>aaa</big>
!style="background:#efefef;"| <big>bbb</big>
|-
!style="background:#efefef;"| <big>e</big>
| <big>e</big> || <big>a</big> || <big>b</big> || <big>ab</big> || <big>ba</big> || <big>aa</big> || <big>aaa</big> || <big>bbb</big>
|-
!style="background:#efefef;"| <big>a
| <big>a</big> || <big>aa</big> || <big>ab</big> || <big>bbb</big> || <big>b</big> || <big>aaa</big> || <big>e</big> || <big>ba</big>
|-
!style="background:#efefef;"| <big>b
| <big>b</big> || <big>ba</big> || <big>aa</big> || <big>a</big> || <big>ab</big> || <big> </big> || <big> </big> || <big> </big>
|-
!style="background:#efefef;"| <big>ab
| <big>ab</big> || <big>b</big> || <big>aaa</big> || <big>aa</big> || <big>e</big> || <big> </big> || <big> </big> || <big> </big>
|-
!style="background:#efefef;"| <big>ba</big>
| <big>ba</big> || <big>bbb</big> || <big>a</big> || <big>e</big> || <big>bb</big> || <big> </big> || <big> </big> || <big> </big>
|-
!style="background:#efefef;"| <big>aa</big>
| <big>aa</big> || <big>aaa</big> || <big>bbb</big> || <big>ba</big> || <big>ab</big> || <big> </big> || <big> </big> || <big> </big>
|-
!style="background:#efefef;"| <big>aaa</big>
| <big>aaa</big> || <big>e</big> || <big>ba</big> || <big>b</big> || <big> </big> || <big> </big> || <big> </big> || <big> </big>
!style="background:#efefef;"| <big>bbb</big>
| <big>bbb</big> || <big>ab</big> || <big>e</big> || <big>aaa</big> || <big> </big> || <big> </big> || <big> </big> || <big> </big>
|}
[[Категория:Теория групп]]
