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rmjmu507
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Homework Statement
Let Q = {±1, ±i, ±j, ±k} be the quaternion group. Find all homomorphisms from Z2 to Q and from Z4 to Q. Are there any nontrivial homomorphisms from Z3 to Q?
Then, find all subgroups of Q.
Homework Equations
The Attempt at a Solution
I don't even know where to begin, I have never seen a problem like this before. Please help!