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Feb
10
comment Question about Irreducible Polynomials Being Relatively Prime.
$k(x)$ is the field of rational expressions/functions.
Feb
10
asked Question about Irreducible Polynomials Being Relatively Prime.
Jan
21
answered Finite group and subgroups
Dec
10
accepted Find three integers $a,\, b,\,$ and $c$ such that $\sqrt{a^2+b^2}$, $\sqrt{a^2+c^2}$, $\sqrt{c^2+b^2}$, and $\sqrt{a^2+b^2+c^2}$ are all integers.
Dec
10
comment Find three integers $a,\, b,\,$ and $c$ such that $\sqrt{a^2+b^2}$, $\sqrt{a^2+c^2}$, $\sqrt{c^2+b^2}$, and $\sqrt{a^2+b^2+c^2}$ are all integers.
Sorry, I meant nonzero solutions. All three integers should be nonzero
Dec
10
asked Find three integers $a,\, b,\,$ and $c$ such that $\sqrt{a^2+b^2}$, $\sqrt{a^2+c^2}$, $\sqrt{c^2+b^2}$, and $\sqrt{a^2+b^2+c^2}$ are all integers.
Dec
3
comment Combinatorics in card games
Please clarify the game procedure.
Dec
3
answered The group $F^\times$ has at most $t$ elements of order $t$ if $F$ is a field.
Dec
1
accepted Using characters in finite fields to find number of solutions to polynomials.
Dec
1
answered Using characters in finite fields to find number of solutions to polynomials.
Dec
1
asked Generators of Finite Fields and Quadratic Extensions
Dec
1
revised Using characters in finite fields to find number of solutions to polynomials.
Fixed indices
Dec
1
comment Quadratic Extension of Finite field
I'm still having trouble showing this last part that if we given a generator $\beta\in K$ then we can find a generator $\alpha\in L$ such that $\beta=\alpha^{q+1}$
Dec
1
comment Quadratic Extension of Finite field
This last part shows the converse of what I was trying to show, which is much easier. I want that if we given a generator $\beta\in K$ then we can find a generator $\alpha\in L$ such that $\beta=\alpha^{q+1}$
Nov
30
asked Quadratic Extension of Finite field
Nov
30
revised Using characters in finite fields to find number of solutions to polynomials.
edited title
Nov
30
accepted Nonzero trace in finite fields and proving irreducibility.
Nov
30
accepted Show the polynomial $(x-\alpha)(x-\alpha^p)\cdots(x-\alpha^{p^{n-1}})$ is in $F_p[x]$ if $\alpha\in F_{p^n}$
Nov
30
revised Using characters in finite fields to find number of solutions to polynomials.
Clarified
Nov
27
asked Using characters in finite fields to find number of solutions to polynomials.