The group \(\left( \mathbb { Z } _ { 4 } \oplus \mathbb { Z } _ { 1 2 } \right) / \textrm { < } ( 2 , 2 ) \textrm { > }\) is isomorphic to one of \(\mathbb { Z } _ { 8 } , \ \mathbb { Z } _ { 4 } \oplus \mathbb { Z } _ { 2 }\) , or \(\mathbb { Z } _ { 2 } \oplus \mathbb { Z } _ { 2 } \oplus \mathbb { Z } _ { 2 }\) . Determine which one by elimination.
Identifying $(\mathbb Z_4\oplus\mathbb Z_{12})/\langle(2,2)\rangle$
P-CH9S-024
- Area
- Algebra
- Status
- draft