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  • 199 votes cast
Nov
19
comment Powers of linear transformation and minimal polynomial
Also, I'm not quite sure about the relation $T^14=T^13$. This is obviously true if you look only on the generalized eigenspace of $0$, but what makes it hold true for all of $V$?
Nov
19
comment Powers of linear transformation and minimal polynomial
Unfortunately I did not understand the answer. How from $(T^4)^5-(T^4)^4=0$ did you get to the minimal polynomial?
Nov
19
asked Powers of linear transformation and minimal polynomial
Nov
10
comment Union of conjugates of a subgroup of a finitely generated group.
@Derek Holt Oh I see. That's interesting. Though guess I'll need to come back to it aftrr I've studied the subject for a bit longer..
Nov
10
asked Union of conjugates of a subgroup of a finitely generated group.
Nov
8
accepted If $H<G$ is of finite index, and for some $x\in G$, $xHx^{-1}\subset H$, prove that $xHx^{-1}=H$
Nov
6
comment If $H<G$ is of finite index, and for some $x\in G$, $xHx^{-1}\subset H$, prove that $xHx^{-1}=H$
I see.. Thanks!
Nov
6
comment If $H<G$ is of finite index, and for some $x\in G$, $xHx^{-1}\subset H$, prove that $xHx^{-1}=H$
Why does the second statement, about $x^m$ being in $H$ for some $m$, follow from the finite index of $H$?
Nov
6
asked If $H<G$ is of finite index, and for some $x\in G$, $xHx^{-1}\subset H$, prove that $xHx^{-1}=H$
Nov
2
awarded  Yearling
Oct
29
revised Show that if $E\subseteq F$ is a subfield and $f,g\in E[x]$ then $\gcd(f,g)$ (relative to $F$) is in $E$
added 300 characters in body
Oct
28
comment Show that if $E\subseteq F$ is a subfield and $f,g\in E[x]$ then $\gcd(f,g)$ (relative to $F$) is in $E$
@Wojowu Tried to think about it, but not sure how to use it... I mean I can just theoretically talk about the reminder at the end, so I assume I need to show that the algorithm gives the same result no matter the field, but I'm not actually sure how to show it...
Oct
28
asked Show that if $E\subseteq F$ is a subfield and $f,g\in E[x]$ then $\gcd(f,g)$ (relative to $F$) is in $E$
Oct
24
awarded  Inquisitive
Oct
23
accepted Integrating $\frac{\ln{ax}}{x\ln{bx}}$
Oct
23
revised Integrating $\frac{\ln{ax}}{x\ln{bx}}$
added 20 characters in body
Oct
23
comment Integrating $\frac{\ln{ax}}{x\ln{bx}}$
@JackD'Aurizio well... that was stupid of me...
Oct
23
asked Integrating $\frac{\ln{ax}}{x\ln{bx}}$
Oct
23
accepted How many integers satisfy the condition?
Oct
21
asked How many integers satisfy the condition?