Reputation
1,558
Next privilege 2,000 Rep.
Edit questions and answers
Badges
3 9 25
Impact
~10k people reached

  • 0 posts edited
  • 74 helpful flags
  • 2,103 votes cast
Jan
19
reviewed No Action Needed How to calculate the correlation between two ratings
Jan
5
comment Which of the following field properties are correct?
One way would be to use that $x^4-x^3+x^2-x+1=\Phi_5(-x)$, and that $\Phi_5(x)$ is irreducible.
Dec
14
comment Showing that $|\text{Hom}_\mathbb{Q}(K,K)|=6$
Consider complex conjugation as a $\Bbb{Q}$-automorphism of $L$. Also, note that $\Bbb{Q}(\alpha,\beta,\bar{\beta})=\Bbb{Q}(\alpha,\beta)$, which can save you some writing.
Dec
14
comment How do I find a splitting field $x^8-3$ over $\mathbb{Q}$?
It is not enough that $\zeta\notin\mathbb{Q}(\sqrt[8]{3})$ for $K$ to be of dimension $4\cdot8=32$ over $\mathbb{Q}$. For example, the splitting field of $x^8-2$ over $\Bbb{Q}$ has degree $16$ even though $\zeta\notin\mathbb{Q}(\sqrt[8]{2})$.
Dec
14
revised Degree of splitting field for $x^3-3x-1$ over $\Bbb Q$ and $\Bbb F_5$
added 86 characters in body
Dec
14
answered Degree of splitting field for $x^3-3x-1$ over $\Bbb Q$ and $\Bbb F_5$
Nov
29
answered What is the splitting field of $(X^3-2)(X^3-3)(X^2-2)$
Nov
29
answered A galois extension being the splitting field of $X^p-a^p$.
Nov
20
comment Proving 2047 is not an euler pseudoprime
It's a Jacobi symbol.
Nov
14
comment Subgroups of $S_n$
There's also an element of order $10$.
Nov
14
comment Subgroups of $S_n$
If $n\geq 3+4+5=12$, $S_n$ contains a cyclic subgroup of order $60$: take the subgroup generated by an element of cycle type $(3,4,5)$. If $n<12$, $S_n$ has no cyclic subgroup of order $60$, since no element of $S_n$ has order $60$.
Nov
8
answered Proof Verification Regarding Image of $K$-homomorphisms of a Normal Extension
Nov
8
answered Find root of polynomial over finite field
Jun
15
awarded  Popular Question
Jun
4
reviewed No Action Needed What is the probability a shuffled deck of cards will have no number-wise repetitions?
Jun
1
reviewed No Action Needed Continuously extending a set of independent vectors to a basis.
Jun
1
reviewed No Action Needed Definition of functions in $L^p$ space
Jun
1
reviewed No Action Needed Complement of the radical of a bilinear form
Jun
1
reviewed No Action Needed Puzzle: leaning a ladder at $45^\circ$ to a wall using only yourself
May
31
reviewed No Action Needed Question regarding the approximant of a function