# Zvpunry

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 Apr10 comment Standard representation of $\frak S_4$ I see, just found a webpage detailing that mistake, thanks. I include the webpage for completeness: groupprops.subwiki.org/wiki/… Apr10 asked Standard representation of $\frak S_4$ Apr8 comment Factoring $x^{255} -1$ over $\Bbb F_2$ I just uploaded a picture of the answer I came up with, but thanks all for the help. Apr8 revised Factoring $x^{255} -1$ over $\Bbb F_2$ added 81 characters in body Apr8 comment Factoring $x^{255} -1$ over $\Bbb F_2$ I ended up figuring out how to go about this problem, I will post my solution shortly Apr8 accepted Factoring $x^{255} -1$ over $\Bbb F_2$ Apr2 comment Factoring $x^{255} -1$ over $\Bbb F_2$ This approach is the one that my teacher hinted at for the test question (this is a question on a test that I did not get and am now trying to solve). Can you elaborate on how we know that $\sum_{i = 0}^k x^i$ for $k = 2,4,16$ divides $x^{255}-1$? Apr2 revised Factoring $x^{255} -1$ over $\Bbb F_2$ added 178 characters in body Apr2 comment Factoring $x^{255} -1$ over $\Bbb F_2$ Ah! I read the Proposition wrongly, and the monic primes are indeed in $\Bbb F_2[x]$, I was under the wrong impression as you can see from my wording in the question. Thank you! Apr2 asked Factoring $x^{255} -1$ over $\Bbb F_2$ Mar7 revised Galois relations between subfields deleted 35 characters in body Mar7 asked Galois relations between subfields Mar1 comment Meaning of measure zero This answer made the most sense to me as someone who happened upon this question, for what that's worth. Feb28 revised Proving that the Fourier Basis is complete for C(R/$2*\pi$ , C) with $L^2$ norm formatting Feb28 suggested suggested edit on Proving that the Fourier Basis is complete for C(R/$2*\pi$ , C) with $L^2$ norm Feb28 comment Connection between Galois trace and matrix trace Works well, thanks! Feb28 accepted Connection between Galois trace and matrix trace Feb28 comment Connection between Galois trace and matrix trace Thanks for your help Dmitri! The only part I am not quite seeing is how you arrived at the last column of your basis matrix? Feb27 asked Connection between Galois trace and matrix trace Feb21 comment American undergraduate applying overseas @ZhenLin From the sounds of things it is typical to do Part III then. Reading the "Unofficial Guide to Part III" by Tom K\"orner has helped, but I do have one question about number of different courses: I see that courses are either 2 or 3 units depending on how long they last, and then it is recommended you offer 17-19 credits for examination. Is this examination at the end of your year, or do you take an examination after each term?