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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 $\frac{19}{7}<e$
added 150 characters in body
1d
answered Finding the splitting field of $x^3-5$ over $Z_7$
1d
revised How to show $\frac{19}{7}<e$
deleted 1 character in body