Abstract Algebra Final Exam Review Problems and Solutions

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#abstractalgebra #abstractalgebrareview #fieldtheory

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Hi prof. I have a question at 52:29.
Why Is C algebreic over Q? For example π Is in C and It Is not algebreic.

cioewsl
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Thank you again; this is INSPIRING. Great connections between concepts and examples. I too when first learning did not work through enough concrete examples. Very respectfully!

eddiejennings
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I’m confused. The FTGT only makes statements about galois extensions. Q(cuberoot(2)), for example, is a degree 3 extension of Q but has no non-trivial automorphisms. How are the students expected to know that the 6th degree polynomial splits when you adjoin one root? That seems that a real pain to work out.

aidanhennessey