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Top Questions
13
votes
Axiom(s) of choice and bases of vector spaces
linear-algebra
axiom-of-choice
vector-spaces
asked Sep 10, 2017 at 9:55
mathoverflow.net
7
votes
Which groups can be proven to be simple using Iwasawa criterion?
group-theory
simple-groups
asked Sep 21, 2019 at 7:36
math.stackexchange.com
7
votes
When does a finite group $G$ have an element of order equal to its exponent?
group-theory
finite-groups
asked Nov 5, 2021 at 9:11
math.stackexchange.com
7
votes
Computation of $H^2(S_n,\mathbb{Z}/2\mathbb{Z})$
reference-request
gr.group-theory
soft-question
finite-groups
group-cohomology
asked Aug 2, 2017 at 12:10
mathoverflow.net
6
votes
Hilbert 90 for cyclic Galois ring extension
galois-theory
finite-fields
group-cohomology
asked Apr 4 at 17:41
math.stackexchange.com
6
votes
Torsors over complete local fields
algebraic-groups
torsors
valuation-rings
asked Apr 13, 2018 at 10:21
mathoverflow.net
5
votes
Are these two constructions of $K_0(A)$ isomorphic?
kt.k-theory-and-homology
algebraic-k-theory
projective-modules
asked Aug 21, 2018 at 9:14
mathoverflow.net
5
votes
Generic $Q_8$-polynomial in characteristic $2$
representation-theory
galois-theory
invariant-theory
asked Feb 13 at 13:38
math.stackexchange.com
5
votes
Does an algebra automorphism of $M_n(R)$ preserves the characteristic polynomial?
linear-algebra
abstract-algebra
commutative-algebra
characteristic-polynomial
asked Apr 6 at 14:12
math.stackexchange.com
5
votes
$\bigcap\limits_{\varphi\in E^*}\ker(\varphi)$ and the Axiom of Choise
linear-algebra
set-theory
axiom-of-choice
asked May 31 at 14:03
math.stackexchange.com
Top Answers
14
axioms of real numbers without multiplication
math.stackexchange.com
12
Why is every vector space free, but not every module?
math.stackexchange.com
11
When is $\mathbb{Q}(\sqrt{p+\sqrt{p}})$ a Galois extension of $\mathbb{Q}$?
mathoverflow.net
11
If $R$ is a noetherian ring, then $ab=1$ implies $ba=1$ $\forall a,b\in R$
math.stackexchange.com
9
Submodules of finitely generated modules
math.stackexchange.com
8
When is a bilinear form equivalent to a trace form?
mathoverflow.net
8
Can base-change be non-surjective on Brauer groups?
mathoverflow.net
8
Perfect numbers, Galois groups and a polynomial
mathoverflow.net
8
Given that $n > 3$ and $z$ is a Gaussian integer, when can $z^n \pm z$ be a rational integer?
mathoverflow.net
8
If $x^2 + y^2 = 1$, then find the value of $(3x-4x^3)^2+(3y-4y^3)^2$ where $x,y\in \mathbb {R}$ .
math.stackexchange.com
7
Example of a central simple algebra
mathoverflow.net
7
How is the concept of $\Bbb Z/2\Bbb Z$ extended to $\Bbb N/2\Bbb N$? Is $\Bbb N/2\Bbb N$ ambiguous?
math.stackexchange.com
7
The monster continued fraction
math.stackexchange.com
7
For which $n$ and $k$ are there nontrivial homomorphisms from $S_n$ to $\mathbb{Z}/k\mathbb{Z}$?
math.stackexchange.com
7
How does the quotient ring $\Bbb Z[x]/(x^2-x,4x+2)$ look like?
math.stackexchange.com
6
If the magnitude of a root of an irreducible polynomial can be expressed via radicals, can the root?
math.stackexchange.com
6
$\,s_k := x^k+y^k, \,x, y\in\Bbb R.\,$ If $\,s_1,s_2,s_3\in\Bbb Z\,$ then $\,s_n\in \Bbb Z\,$ for all $n\ge 0$
math.stackexchange.com
6
Functor $F_p(G)=\{g\in G: g \text{ has order } 1 \text{ or } p\}$ is representable
math.stackexchange.com
6
Invariant basis number for matrix algebras
math.stackexchange.com
6
Example of ring can’t be defined over finite field.
math.stackexchange.com
6
The maximum order of the elements of a group and the number of elements that have that order
math.stackexchange.com
6
Rig in which 0 is not an absorber.
math.stackexchange.com
6
How can I prove that $1+\sqrt{21}$ is irreducible in $\mathbb{Z}[\sqrt{21}]$?
math.stackexchange.com
6
Non-trivial gap in a field extension problem proof
math.stackexchange.com
6
Subgroups of product of two finite groups with coprime order
math.stackexchange.com
6
If the characteristic of a field is two, doesn't the quadratic form associated with a bilinear form exist?
math.stackexchange.com
6
Properties of Finite Galois Extensions
math.stackexchange.com
6
Classification of finite subgroups of $\textrm{GL}_2(\mathbb{C})$
math.stackexchange.com
6
Order of Algebraic Number Field
math.stackexchange.com
6
A question about dihedral group
math.stackexchange.com
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