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 Mar1 awarded Popular Question May7 answered Field extension question. May1 revised Finite Groups: $a \in G \implies a \in H$ formatting and structure May1 answered Finite Groups: $a \in G \implies a \in H$ Apr29 comment Finding an isomorphism of fields To the OP, you can right click existing notational symbols here and bring up their TeX commands. Apr29 comment Finding cosets of a sub group of the polynomials Edit: Nevermind, question already asked. Apr29 awarded Commentator Apr29 comment If $G/H$ is finitely generated, then so is $G$ How does the normality of H come into play? Apr23 awarded Informed Apr18 comment Homework - Prove that a given set is a group What is the definition of a group? Apr8 awarded Nice Question Mar13 comment Question on a homomorphism of a set G. @ Kneidell, thanks for clearing that up. Mar13 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. Mar12 asked Question on a homomorphism of a set G. Nov18 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. Oct3 answered If $a^3 b = ba^3$ and if $a$ has order 7, show that $ab = ba$ Sep26 comment Example of a union of subfields that is not a field Indeed a great observation. Sep23 awarded Teacher Sep20 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. Sep20 answered Why is $\zeta ^0 = 1$ here under this isomorphism?