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 Mar 1 awarded Popular Question May 7 answered Field extension question. May 1 revised Finite Groups: $a \in G \implies a \in H$ formatting and structure May 1 answered Finite Groups: $a \in G \implies a \in H$ 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 awarded Commentator Apr 29 comment If $G/H$ is finitely generated, then so is $G$ How does the normality of H come into play? Apr 23 awarded Informed Apr 18 comment Homework - Prove that a given set is a group What is the definition of a group? Apr 8 awarded Nice Question 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. Mar 12 asked Question on a homomorphism of a set G. 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. Oct 3 answered If $a^3 b = ba^3$ and if $a$ has order 7, show that $ab = ba$ Sep 26 comment Example of a union of subfields that is not a field Indeed a great observation. Sep 23 awarded Teacher 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 20 answered Why is $\zeta ^0 = 1$ here under this isomorphism?