Reputation
3,583
Top tag
Next privilege 5,000 Rep.
Approve tag wiki edits
Badges
7 18
Newest
 Nice Answer
Impact
~19k people reached

12h
comment What is a Galois closure and Galois group?
If many extension fileds over a given field are all Galois extensions, then their intersections is again a field, contains the base filed and is a Galois
12h
answered What is a Galois closure and Galois group?
23h
comment Intersection of decomposition groups in abelian extensions
Decomposition group $D(Q\mid P)$ consists of automorphisms $\sigma$ such that $\sigma(Q)\subset Q$, they don't fix elements of $Q$
1d
answered Given a fixed positive integer $k$, find the number of pairs of integers $(x,y) \in \mathbb{Z}^2$ such that $x^2+y^2=5^k$
1d
comment Show that the set $\{1,2,\ldots, n-1\}$ is a group under $\bmod n$ IFF $n$ is prime.
If $n$ is not a prime then for any divisor $d$ of $n$ ( $d\neq1,n$) try to check if inverse exists.
1d
answered Do there exist nontrivial quotient groups of arbitrary finite order?
2d
answered How write a periodic number as a fraction?
2d
answered Does there exist a module structure over $\mathbb{C}^2$ as a $\mathbb{C}[x]$-module?
2d
answered Name for the following set of polynomials
2d
answered Group ring of a cyclic group over a finite field
2d
answered A better proof for the set of irrational number not closed under ordinary multiplication.
2d
answered Numbers with 2015
2d
comment Numbers with 2015
Reformulating your question: Find integrs $x$ and $y$ such that
May
20
revised Maximum /Minimum Modulus theorem for Harmonic Function ( Corollary 6.16 )
fixed typo in title
May
20
reviewed Approve Solve this equation: $\log_3(3-2\cdot3^{x+1})=2+2x$
May
20
reviewed Approve What does d(something) mean?
May
20
comment Solve $6^{x+8} = 4^{x-1}$
For all variations of your problem of the kind (e.g., with $x+8$ replaced by $x+3$) the solution can never be in whole numbers. Because LHS would be divisible by 3 and the RHS would not be.
May
19
reviewed Approve Volume element and orientabality
May
19
reviewed Approve Finding a side by using perimeter
May
19
reviewed Approve Is there any method to calculate $\sin(x)$ and $\cos(x)$ without calculating $x$ if I know $\tan(x)$?