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 Apr 29 comment Finding an isomorphism of fields To the OP, you can right click existing notational symbols here and bring up their TeX commands. Apr 29 comment Finding cosets of a sub group of the polynomials Edit: Nevermind, question already asked. Apr 29 comment If $G/H$ is finitely generated, then so is $G$ How does the normality of H come into play? Apr 18 comment Homework - Prove that a given set is a group What is the definition of a group? Mar 13 comment Question on a homomorphism of a set G. @ Kneidell, thanks for clearing that up. Mar 13 comment Question on a homomorphism of a set G. @ Yoni, you're correct. I was stuck in thinking that we had to consider only a specific value of n, not all powers of all roots of unity for all n. Nov 18 comment A Book for abstract Algebra I've read all three titles, I would suggest Dummit and Foote if you're a beginner. Personally, I thought Rotman did a better job at explaining the ideas. Sep 26 comment Example of a union of subfields that is not a field Indeed a great observation. Sep 20 comment Why is $\zeta ^0 = 1$ here under this isomorphism? We usually define the integers modulo 8 by {0,1,...,7} so the author is just sticking to standard notation. That's just what I think. Sep 17 comment An element of a group $G$ is not conjugate to its inverse if $\lvert G\rvert$ is odd Wouldn't a conjugacy class of size one just mean that element is in the center? Thanks for catching my false observation. Sep 17 comment An element of a group $G$ is not conjugate to its inverse if $\lvert G\rvert$ is odd Thank you for the elegant response. Sep 17 comment An element of a group $G$ is not conjugate to its inverse if $\lvert G\rvert$ is odd x and its inverse are distinct otherwise (as mentioned in another suggestion) there would be an element of even order, but if that was true then the order of that element should divide the order of G. That can't happen as G has odd size. Thank you.