Recent content by corky23
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Abstract Algebra- Finding the Minimal Polynomial
Homework Statement Given field extension C of Q, Find the minimal polynomial of a=sqrt( 5 + sqrt(23) ) (element of C).Homework Equations The Attempt at a Solution I may be complicating things, but let me know if you see something missing. Doing the appropriate algebra, I manipulated the above...- corky23
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- Abstract Abstract algebra Algebra minimal polynomial Polynomial
- Replies: 3
- Forum: Calculus and Beyond Homework Help
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Abstract Algebra- Conjugate Problem
Homework Statement Let G be a group of odd order, and a an element of G (not identity). Show that a and a^-1 are not conugate. Homework Equations The Attempt at a Solution The only hint I have is to consider action of G on itself by conjugation.- corky23
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- Abstract Abstract algebra Algebra Conjugate
- Replies: 1
- Forum: Calculus and Beyond Homework Help