lhf
Reputation
98/100 score
 1h comment Find all the homomorphisms from $D_8 \to \mathbb{C}^\times$ @Jessie, exactly. 2h answered Find all the homomorphisms from $D_8 \to \mathbb{C}^\times$ 2h comment Find all the homomorphisms from $D_8 \to \mathbb{C}^\times$ Why do you think you have it wrong? 2h answered Find $\lim_{n \to \infty} \left( \frac{3^{3n}(n!)^3}{(3n)!}\right)^{1/n}$ 11h comment Should we or should we not take $1$ as a prime number? Possible duplicate of math.stackexchange.com/questions/120/…. 11h answered Let $5 \leq k < n$. Then $2k$ divides $n(n - 1)… (n - k + 1)$. What should I use permutations or polynomials? 12h answered If $g$ and $h$ are primitive roots of an odd prime $p$, then $g = h^k \pmod p$ for some integer $k$. Show that $k$ is odd. 13h comment Factoring a 4th degree trinomial You can start with en.wikipedia.org/wiki/Rational_root_theorem. 16h comment Isomorphism theorems for topological groups Don't you need closed normal subgroups? 17h comment Algebra, finding the elements of the field and solving irreducible polynomials Yes, this and more. 18h comment Algebra, finding the elements of the field and solving irreducible polynomials You're right about (a) but there will be some repetitions. The point is to list without repetitions. 18h answered Prove that $24^{31}$ is congruent to $23^{32}$ mod 19. 21h comment Fibonacci Pairs Your code is wrong. The second 1 should be a -1. Anyway, the system has no solution because it is $E=1$ and $E=-1$. 21h comment Find the minimum polynomial of $u$ over $Q$ where $u=\sqrt3-(1+(5/2)^{1/3})^{1/4}$ @Adoedatus, I don't know. Which book is it? 21h comment If $0 < a < b,$ there exists an $x_{0}$ such that for $x \geq x_0$ there is at least one prime between $ax$ and $bx.$ @Eureka, $\pi(bx) \ge \pi(ax)+1$ iff $\pi(bx) - \pi(ax) \ge 1$. 22h comment Find the minimum polynomial of $u$ over $Q$ where $u=\sqrt3-(1+(5/2)^{1/3})^{1/4}$ WA says that it's $4 x^{24}-144 x^{22}+2352 x^{20}-23616 x^{18}+164544 x^{16}-836352 x^{14}+3158252 x^{12}-8842104 x^{10}+17630256 x^8-24529248 x^6+17716992 x^4-7354368 x^2+1038361$. 23h revised Finding the splitting field of $x^3-5$ over $Z_7$ added 46 characters in body 23h revised How to show \$\frac{19}{7}