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2nd year Math student

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Mahler aficionado


Feb
28
comment Connection between Galois trace and matrix trace
Works well, thanks!
Feb
28
accepted Connection between Galois trace and matrix trace
Feb
28
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?
Feb
27
asked Connection between Galois trace and matrix trace
Feb
21
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?
Feb
21
revised American undergraduate applying overseas
added info
Feb
21
asked American undergraduate applying overseas
Feb
21
comment Basic identity of characters
@darijgrinberg I apologize, those identities were proved by Serre earlier in the section, and so I stated them without proof
Feb
20
accepted Character of a permutation representation
Feb
20
accepted Basic identity of characters
Feb
20
revised Character of a permutation representation
deleted 37 characters in body
Feb
20
comment Basic identity of characters
@BenjaLim thanks very much. I now see. Could you post your response as an answer?
Feb
20
asked Character of a permutation representation
Feb
20
revised Basic identity of characters
added 152 characters in body
Feb
20
comment Basic identity of characters
@darijgrinberg where would the trace first be necessary? Am I able to expand the square of the characters from $(\chi + \chi')^2$ to $(\chi^2 + 2\chi \chi' + \chi'^2)$ or is this where I will need the trace?
Feb
20
asked Basic identity of characters
Feb
17
accepted Subgroups of order $p$ and $p^{n-1}$ in a group of order $p^n$.
Feb
17
comment Subgroups of order $p$ and $p^{n-1}$ in a group of order $p^n$.
Looks tractable. Thanks for your help!
Feb
17
comment Subgroups of order $p$ and $p^{n-1}$ in a group of order $p^n$.
Then letting $a \in G$ be an element of order $p$, perhaps I should consider $G/\langle a \rangle$?
Feb
17
asked Subgroups of order $p$ and $p^{n-1}$ in a group of order $p^n$.