Let f be a homorphism from the group 3Z, +4 to the group
Chapter 9, Problem 2(choose chapter or problem)
Let f be a homorphism from the group \([\mathbb{Z},+]\) to the group \([\mathbb{Z},+]\) given by f(x) = 2x.
a. Verify that f is a homorphism.
b. Is f an isomorphism? Prove or disprove.
c. What is the subgroup \([f(\mathbb{Z}),+]\) of \([\mathbb{Z},+]\)?
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