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Top Questions
72
votes
The inverse Galois problem, what is it good for?
nt.number-theory
galois-theory
asked Nov 24 '09 at 23:46
mathoverflow.net
26
votes
Is $\varphi(n)/n$ the maximal portion of $n$-cycles in a degree $n$ group?
finite-groups
gr.group-theory
co.combinatorics
asked Dec 25 '09 at 21:12
mathoverflow.net
20
votes
When to split/merge papers?
mathematical-writing
career
advice
asked Jan 10 '10 at 21:07
mathoverflow.net
19
votes
Number of zero digits in factorials
elementary-number-theory
factorial
decimal-expansion
asked Jan 25 '13 at 21:14
math.stackexchange.com
17
votes
Element in the absolute Galois group of the rationals
absolute-galois-group
nt.number-theory
asked Nov 25 '09 at 13:06
mathoverflow.net
17
votes
A short proof for simple connectedness of the projective line
ag.algebraic-geometry
ac.commutative-algebra
etale-cohomology
characteristic-p
etale-covers
asked Nov 15 '17 at 16:16
mathoverflow.net
11
votes
Number of generators of a subgroup of a finite simple group
finite-groups
asked Jun 23 '12 at 11:45
mathoverflow.net
10
votes
If $I$ is a finitely generated ideal of $A[X]$, is $I\cap A$ necessarily finitely generated for a commutative unital ring $A$?
abstract-algebra
commutative-algebra
ring-theory
ideals
asked Feb 21 '13 at 13:11
math.stackexchange.com
9
votes
Does any integral domain contain an irreducible element?
commutative-algebra
ring-theory
algebraic-number-theory
asked Feb 7 '13 at 15:33
math.stackexchange.com
9
votes
What is the density of integers of the form $a^2+nb^2$?
nt.number-theory
reference-request
analytic-number-theory
asked Jan 10 '17 at 7:55
mathoverflow.net
1
2
next
Top Answers
30
Can a non-surjective polynomial map from an infinite field to itself miss only finitely many points?
mathoverflow.net
26
Fun but serious mathematics books to gift advanced undergraduates.
math.stackexchange.com
23
Examples of interesting false proofs
mathoverflow.net
12
How to find number of prime numbers between two integers
math.stackexchange.com
10
Degrees of factors of polynomial $f(x)=x^q-(ax^2+bx+c)\in \mathbb{F}_q[x]$
mathoverflow.net
9
Prove that $ f(x) $ has at least two real roots in $ (0,\pi) $
math.stackexchange.com
9
Twin primes for polynomials in $\Bbb Z[X]$
mathoverflow.net
9
Infiniteness of the Galois cohomology over a number field with coefficients in a finite Galois module
mathoverflow.net
8
Question about inverse Galois problem
math.stackexchange.com
8
Showing $[\mathbb{Q}(\sqrt[4]{2},\sqrt{3}):\mathbb{Q}]=8$.
math.stackexchange.com
7
What can be said about the Galois group of $f(g(x))$?
math.stackexchange.com
7
Prove $\lim \limits_{x \to\infty } \frac{f(x)}{x}=0$ and $f$ differentiable implies $ \lim \limits_{x \to\infty } \inf |f'(x)|=0 $
math.stackexchange.com
7
How can we find this limit $\lim_{n\to\infty \\x\to\infty}f^n(x)$?
math.stackexchange.com
7
Cases where the number field case and the function field (with positive characteristic) are different
mathoverflow.net
6
A polynomial whose Galois group is $D_8$
math.stackexchange.com
6
Counterexamples in Algebra?
mathoverflow.net
6
Maximal separable extension of $\mathbb F_q((t))$
mathoverflow.net
5
Example of algebraic field not honoring the Total Order relation?
math.stackexchange.com
5
Elements of infinite order in a profinite group
mathoverflow.net
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