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New posts in abstract-algebra
The Disk and the Punctured Disk
abstract-algebra
general-topology
algebraic-geometry
Prove the order of each nonindentity element of $G$ is $p$. [closed]
abstract-algebra
group-theory
prime-numbers
abelian-groups
cyclic-groups
An abelian group of order 100
abstract-algebra
group-theory
finite-groups
abelian-groups
Prove that $H$ is a abelian subgroup of odd order
abstract-algebra
finite-groups
Show that there is a positive integer $n$ such that $G \cong \ker(\phi^{n}) \times \phi^{n}(G)$
abstract-algebra
group-theory
finite-groups
abelian-groups
General Steinitz exchange lemma
linear-algebra
abstract-algebra
reference-request
vector-spaces
Prove that a non-abelian group of order $pq$ ($p<q$) has a nonnormal subgroup of index $q$
abstract-algebra
finite-groups
proof-verification
group-actions
sylow-theory
Given that $a+b\sqrt[3]{2} +c\sqrt[3]{4} =0$, where $a,b,c$ are integers. Show $a=b=c=0$
abstract-algebra
Set of elements of degree $2^n$ over a base field is itself a field
abstract-algebra
field-theory
extension-field
Checking if $\langle 2 \rangle$ is a maximal ideal in $\mathbb{Z}[i]$
abstract-algebra
proof-verification
ring-theory
ideals
How many homomorphisms $\Psi : S_3 \rightarrow S_3$ exist?
abstract-algebra
group-theory
Is the sum of an algebraic and transcendental complex number transcendental?
abstract-algebra
field-theory
galois-theory
transcendental-numbers
Localization at prime ideals in von Neumann regular rings [closed]
abstract-algebra
commutative-algebra
localization
A problem about abelian group
abstract-algebra
group-theory
abelian-groups
Irreducibility of cyclotomic polynomials over number fields
abstract-algebra
field-theory
algebraic-number-theory
irreducible-polynomials
cyclotomic-polynomials
Finding Sylow 2-subgroups of the dihedral group $D_n$
abstract-algebra
finite-groups
sylow-theory
dihedral-groups
Prove that $\mathbb{Q}[\sqrt{2}]=a+b\sqrt{2}$ is isomorphic to $\mathbb{Q}[x]/(x^2-2)$.
abstract-algebra
ring-theory
group-isomorphism
Definition of Simple Group
abstract-algebra
group-theory
simple-groups
Diagonalizing $xyz$
linear-algebra
abstract-algebra
What is the condition for a field to make the degree of its algebraic closure over it infinite?
abstract-algebra
field-theory
galois-theory
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