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bio website math.upenn.edu/~frankelb
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I'm currently (fall 2013) a third year graduate student at the University of Pennsylvania. My thesis, still in its infancy, concerns maps from fundamental groups of complete curves over fields of positive characteristic into linear groups.


Dec
19
awarded  Nice Answer
Dec
9
revised A couple questions on radical extensions
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Dec
9
comment A couple questions on radical extensions
@user39947 Thanks for pointing out the mistake. I'll amend the post now.
Dec
5
reviewed Approve suggested edit on Example of a continuous function which is not uniformly continuous at a given interval.
Dec
5
comment Question about a proof in Washington's book “Introduction to Cyclotomic Fields” of the ramification in $\mathbb {Z}_p$-extension
@Amine I don't have a reference (probably somewhere in Serre), but I've already sketched the proof for you. Once you parse what I've written using the definition of projective limits, decomposition, and inertia groups, it should be pretty immediate.
Dec
5
comment Question about a proof in Washington's book “Introduction to Cyclotomic Fields” of the ramification in $\mathbb {Z}_p$-extension
@Amine I'm not familiar with Lorenz's book so I could be misinterpreting his notation, but $U^{(1)}$ generally (for example, in Serre) means the group of units whose residue class is $1$. Washington calls this group $U_1$. So $U\cong k^* \times U^{(1)}$.
Dec
5
comment Question about a proof in Washington's book “Introduction to Cyclotomic Fields” of the ramification in $\mathbb {Z}_p$-extension
@Amine It's certainly true for all finite extensions. Now take projective limits to get the statement for infinite extensions, using the fact that if $L/K/F$ is an abelian tower of fields, the decomposition group of $L/F$ surjects onto $K/F$ under the restriction homomorphism.
Dec
5
comment Prove $\sup A \le \inf B$.
Yes, that would be a very good place to start.
Dec
5
revised Prove $\sup A \le \inf B$.
added 12 characters in body
Dec
5
revised The set of all things. A thing itself?
edited tags
Dec
5
answered Question about a proof in Washington's book “Introduction to Cyclotomic Fields” of the ramification in $\mathbb {Z}_p$-extension
Dec
4
reviewed No Action Needed Combinatorial word problems (Discrete math)
Dec
4
reviewed No Action Needed Number of different partitions of N
Dec
4
reviewed Approve suggested edit on Chain homotopy inverse to inclusion
Dec
4
reviewed Reviewed Prove or disprove the following proposition
Dec
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revised Prove or disprove the following proposition
edited tags
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4
comment Prove or disprove the following proposition
Welcome to Math.SE! Please, consider updating your question to include what you have tried and where you are getting stuck. That way, people on this site will know exactly what help you need.
Dec
3
reviewed Edit suggested edit on GCD (p+q,p-q) with distinct odd primes
Dec
3
revised GCD (p+q,p-q) with distinct odd primes
mathematics text
Dec
3
comment Ring theory : Completely lost and overwhelmed
@Surya The answer is, you'll need to keep reading. And yes, you should be wondering why people care about ideals and what problems they solve! Keep reading with exactly those questions in mind! And as you read, also have those examples in mind. Pretty soon you'll get to quotients, and see some more familiar and/or interesting things like modular arithmetic.