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Discipulus sum in Iaponia.


May
16
accepted On the eigenvalues of a linear transformation $\tau$ such that $\tau^3 = \mathrm{id}$
May
15
comment On the eigenvalues of a linear transformation $\tau$ such that $\tau^3 = \mathrm{id}$
My mother tongue not being English, I thought the word "all" in the phrase "whose eivenvalues are of course all powers of a cube root of unity" modifies "powers", not "eigenvalues" :-( Regarding the mathematical content of the issue, is there a counterexample of such $\tau$ that not all of the powers of $\omega$ are its eignevalues?
May
15
comment On the eigenvalues of a linear transformation $\tau$ such that $\tau^3 = \mathrm{id}$
Seems like this question really belongs to english.stackexchange.com ...
May
15
asked On the eigenvalues of a linear transformation $\tau$ such that $\tau^3 = \mathrm{id}$
May
14
accepted On the proof of Schur's lemma in Fulton & Harris
May
14
comment On the proof of Schur's lemma in Fulton & Harris
I've totally forgotten that the two spaces are irreducible :-(
May
14
asked On the proof of Schur's lemma in Fulton & Harris
May
12
accepted Reference request: Newton-Kantorovich hypothesis for polynomials of integral coefficients
May
12
awarded  Benefactor
May
6
comment Reference request: Newton-Kantorovich hypothesis for polynomials of integral coefficients
Thank you. What I really wanted to see was the particular application of the Newton method to polynomials of integral coefficients. (Please let me know if one of these articles contains the application, just in case I overlooked it.)
May
5
awarded  Promoter
May
5
revised Reference request: Newton-Kantorovich hypothesis for polynomials of integral coefficients
added 3 characters in body
May
4
comment How to enumerate subgroups of each order of $S_4$ by hand
In my original problem, I understand that you calculated the index of the normalizer or found the parameterized general form of subgroups and counted the parameters, to obtain the number of subgroups of a specific type. Is this correct?
May
4
accepted How to enumerate subgroups of each order of $S_4$ by hand
May
4
comment How to enumerate subgroups of each order of $S_4$ by hand
Thank you for your helpful answer. What do you think is the easiest way, in general, to determine of what form the element of a subgroup of a specific type (conjugacy class or isomorphic class) is, and how many subgroups fall in that type?
May
3
comment How to enumerate subgroups of each order of $S_4$ by hand
@amWhy I would be most grateful if you could tell me what part of the answer to the old question answers my question.
May
3
revised How to enumerate subgroups of each order of $S_4$ by hand
added 139 characters in body
May
3
comment How to enumerate subgroups of each order of $S_4$ by hand
@zach How do you find the isomorphism types of the subgroups given a finite (symmetric) group?
May
3
asked How to enumerate subgroups of each order of $S_4$ by hand
May
3
asked Reference request: Newton-Kantorovich hypothesis for polynomials of integral coefficients