Abstract Algebra: Theory and Applications · Problem 10.3.3

Homomorphisms — Thomas Judson

Mathematics — Abstract Algebra · factor-groups

Problem

The subgroup 8Z8\mathbb{Z} is normal in Z\mathbb{Z}. In the factor group Z/8Z\mathbb{Z}/8\mathbb{Z} perform the computation (3+8Z)+(7+8Z)(3 + 8\mathbb{Z}) + (7 + 8\mathbb{Z}).

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