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Magazine Problem 1
In Exercises 1 through 12, classify the given group according to the fundamental theorem of finitely generated abelian groups. $$ \left(\mathrm{Z}_{2} \times \mathbf{Z}_{4}\right) /\langle(0,1)\rangle $$
Problem 2
In Exercises 1 through 12, classify the given group according to the fundamental theorem of finitely generated abelian groups. $$ \left(\mathbb{Z}_{2} \times \mathbf{Z}_{4}\right) /\langle(0,2)\rangle $$
Problem 3
Classify the given group acconding to the fundamental theorem of finitely generated abelian groups. $$ \left(Z_{2} \times Z_{4}\right) /((1,2)) $$
Problem 3
In Exercises 1 through 12, classify the given group according to the fundamental theorem of finitely generated abelian groups. $$ \left(\mathrm{Z}_{2} \times \mathrm{Z}_{4}\right) /\langle(1,2)\\} $$
Problem 4
Classify the given group acconding to the fundamental theorem of finitely generated abelian groups. $$ \left(Z_{4} \times Z_{8}\right) /\langle(1,2)\rangle $$
Problem 5
In Exercises 1 through 12, classify the given group according to the fundamental theorem of finitely generated abelian groups. $$ \left(Z_{4} \times Z_{4} \times \mathbb{Z}_{8}\right) /\langle(1,2,4)\rangle $$
Problem 5
Classify the given group acconding to the fundamental theorem of finitely generated abelian groups. $$ \left(Z_{4} \times Z_{4} \times Z_{8}\right) /\langle(1,2,4)\rangle $$
Problem 6
Classify the given group acconding to the fundamental theorem of finitely generated abelian groups. $$ (\mathbb{Z} \times Z) /\langle(0,1)\rangle $$
Problem 6
In Exercises 1 through 12, classify the given group according to the fundamental theorem of finitely generated abelian groups. $$ (\mathbb{Z} \times \mathbb{Z}) /\langle(0,1)\rangle $$
Problem 8
Classify the given group acconding to the fundamental theorem of finitely generated abelian groups. $$ (2 \times Z \times Z) /\langle(1,1,1)\rangle $$
