Thực đơn
Nhóm_con Ví dụσ 1 = ( 1 2 3 1 2 3 ) = e {\displaystyle {\sigma }_{1}={\begin{pmatrix}1&2&3\\1&2&3\end{pmatrix}}=e} ; | σ 2 = ( 1 2 3 2 3 1 ) {\displaystyle {\sigma }_{2}={\begin{pmatrix}1&2&3\\2&3&1\end{pmatrix}}} ; | σ 3 = ( 1 2 3 3 1 2 ) {\displaystyle {\sigma }_{3}={\begin{pmatrix}1&2&3\\3&1&2\end{pmatrix}}} ; |
σ 4 = ( 1 2 3 2 1 3 ) {\displaystyle {\sigma }_{4}={\begin{pmatrix}1&2&3\\2&1&3\end{pmatrix}}} ; | σ 5 = ( 1 2 3 3 2 1 ) {\displaystyle {\sigma }_{5}={\begin{pmatrix}1&2&3\\3&2&1\end{pmatrix}}} ; | σ 6 = ( 1 2 3 1 3 2 ) {\displaystyle {\sigma }_{6}={\begin{pmatrix}1&2&3\\1&3&2\end{pmatrix}}} |
Ta có bảng nhân của S 3 {\displaystyle S_{3}}
* | σ 1 {\displaystyle \sigma _{1}} | σ 2 {\displaystyle \sigma _{2}} | σ 3 {\displaystyle \sigma _{3}} | σ 4 {\displaystyle \sigma _{4}} | σ 5 {\displaystyle \sigma _{5}} | σ 6 {\displaystyle \sigma _{6}} |
σ 1 {\displaystyle \sigma _{1}} | σ 1 {\displaystyle \sigma _{1}} | σ 2 {\displaystyle \sigma _{2}} | σ 3 {\displaystyle \sigma _{3}} | σ 4 {\displaystyle \sigma _{4}} | σ 5 {\displaystyle \sigma _{5}} | σ 6 {\displaystyle \sigma _{6}} |
σ 2 {\displaystyle \sigma _{2}} | σ 2 {\displaystyle \sigma _{2}} | σ 3 {\displaystyle \sigma _{3}} | σ 1 {\displaystyle \sigma _{1}} | σ 6 {\displaystyle \sigma _{6}} | σ 4 {\displaystyle \sigma _{4}} | σ 5 {\displaystyle \sigma _{5}} |
σ 3 {\displaystyle \sigma _{3}} | σ 3 {\displaystyle \sigma _{3}} | σ 1 {\displaystyle \sigma _{1}} | σ 2 {\displaystyle \sigma _{2}} | σ 5 {\displaystyle \sigma _{5}} | σ 6 {\displaystyle \sigma _{6}} | σ 4 {\displaystyle \sigma _{4}} |
σ 4 {\displaystyle \sigma _{4}} | σ 4 {\displaystyle \sigma _{4}} | σ 5 {\displaystyle \sigma _{5}} | σ 6 {\displaystyle \sigma _{6}} | σ 1 {\displaystyle \sigma _{1}} | σ 2 {\displaystyle \sigma _{2}} | σ 3 {\displaystyle \sigma _{3}} |
σ 5 {\displaystyle \sigma _{5}} | σ 5 {\displaystyle \sigma _{5}} | σ 6 {\displaystyle \sigma _{6}} | σ 4 {\displaystyle \sigma _{4}} | σ 3 {\displaystyle \sigma _{3}} | σ 1 {\displaystyle \sigma _{1}} | σ 2 {\displaystyle \sigma _{2}} |
σ 6 {\displaystyle \sigma _{6}} | σ 6 {\displaystyle \sigma _{6}} | σ 4 {\displaystyle \sigma _{4}} | σ 5 {\displaystyle \sigma _{5}} | σ 2 {\displaystyle \sigma _{2}} | σ 3 {\displaystyle \sigma _{3}} | σ 1 {\displaystyle \sigma _{1}} |
Có thể kiểm tra
Thực đơn
Nhóm_con Ví dụLiên quan
Nhóm con Nhóm con chuẩn tắc Nhóm con giao hoán tử Nhóm con Frattini Nhóm Compostela Nhóm cobanTài liệu tham khảo
WikiPedia: Nhóm_con