Reputation
3,124
Next privilege 5,000 Rep.
Approve tag wiki edits
Badges
1 6 18
Newest
 Yearling
Impact
~99k people reached

Aug
27
comment On the number of group homomorphisms from $S_n$ to $S_m$
In $S_m$ we can look at the subgroup fixing $m$ and then we get the subgroup $S_{m-1}$.
Aug
23
comment Finding Galois group of $K=\Bbb{Q}(\omega,\sqrt2)$, showing that $K=\Bbb{Q}(\omega\sqrt2)$, and finding $\operatorname{min}(\omega\sqrt2,\Bbb{Q})$
$a=\omega\sqrt{2}$ then $a^2=2\omega^2$, hence $b=\omega^2\in K$ so also $b^2=\omega \in K$.
Aug
18
answered Normal extension of $\mathbb{Q}(1-2i\sqrt2)/\mathbb{Q}$
Jul
27
comment Determine the galois group of $x^5+sx^3+t$
If $s=15, t=81$ then the group is $D_5$.
Jul
27
comment Determine the galois group of $x^5+sx^3+t$
If $s=0$ then the Galois group is not $S_5$.
Jul
27
comment Determine the galois group of $x^5+sx^3+t$
It is not always $S_5$. For $s=10, t=\pm 5$ the group is $F_{20}$.
Jul
19
comment Finding the Fixed Fields in the Galois Correspondence for the Splitting Field of $x^4-3x^2+4$ over $\mathbb{Q}$
@TheSubstitute We want $a+b$ or $a-b$ so by squaring we can evaluate the algebra.
Jul
18
answered Finding the Fixed Fields in the Galois Correspondence for the Splitting Field of $x^4-3x^2+4$ over $\mathbb{Q}$
Jul
18
comment Finding the Fixed Fields in the Galois Correspondence for the Splitting Field of $x^4-3x^2+4$ over $\mathbb{Q}$
For example an invariant under $g$, is the element $a+b=\sqrt{7}$. (You can easily compute a^2+b^2+2ab).
Jul
18
comment computing the galois group of a polynomial
@TheSubstitute Thanks, I made revisions.
Jul
18
revised computing the galois group of a polynomial
deleted 123 characters in body
Jul
17
comment The Galois group of a specific polynomial $ f(x) = x^6-2x^3+2 \in Q[x] $
Let $w$ be a primitve cube root of 1. The splitting field is $Q(i, w, (1+i)^{1/3})$ which has degree 12.
Jul
11
answered Negative roots of a cubic equation
Jun
17
comment Q-automorphisms determind by associates to id-element?
It is true that the automorphism maps an element r to another root of the minimal polynomial of r over Q.
Jun
4
awarded  Yearling
Jun
4
reviewed Approve Converting X, Y and Z Co-ordinates(Cartesian Co-ordinate Systems) into their respective angles(Yaw, Pitch and Roll))
May
29
comment Prove that $\sin(a)$ + $\cos(a)\leq\sqrt{2}$
It looks like you want to show $|\sin(a)+\cos(a)|\le \sqrt{2}$.
May
28
reviewed Approve The square of minimum area with three vertices on a parabola
May
25
reviewed Approve A subspace of a metric space is normal
May
18
reviewed Approve Solving a ratio of summation