Steven-Owen
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 Feb 10 comment Question about Irreducible Polynomials Being Relatively Prime. So the idea here is that since $k[x,y]$ is the same as $k[x][y]$ we think of $f,g$ as irreducible in $k[x][y]$ which implies irreducible in $k(x)[y]$ where $k[x]$ is the ring playing the role of the integers and $k(x)$ is its field of fractions playing the role of the rationals? Feb 10 comment Question about Irreducible Polynomials Being Relatively Prime. Is it somehow equivalent to irreducibility lemma on en.wikipedia.org/wiki/Gauss%27s_lemma_(polynomial) If so, I'm struggling a bit to see the connection. Feb 10 comment Question about Irreducible Polynomials Being Relatively Prime. Could you point me in the direction of a reference for this particular lemma of Gauss? He seem's to have quite a few ;) 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.