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visits member for 2 years, 3 months
seen Sep 28 at 23:59

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.