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New posts in abstract-algebra
What is a good resource for computations in quadratic integer rings?
abstract-algebra
number-theory
soft-question
algebraic-number-theory
math-software
Proportion of nonabelian $2$-groups of a certain order whose exponent is $4$
abstract-algebra
finite-groups
gap
2-groups
groups-enumeration
Borel subalgebras contain solvable radical
abstract-algebra
lie-algebras
Find a $2$-Sylow subgroup of $\mathrm{GL}_3(F_7)$
abstract-algebra
finite-groups
sylow-theory
Finitely generated field extensions
abstract-algebra
field-theory
Pedagogical examples of distinguishing "types of symmetry"
abstract-algebra
group-theory
education
symmetry
Prove that the given polynomial is irreducible in $\mathbb{Z}[X]$.
abstract-algebra
polynomials
commutative-algebra
irreducible-polynomials
A problem of central simple algebras: why $(E,s,\gamma)\cong M_n(F)$ only if $\gamma$ is the norm of an element of $E$?
abstract-algebra
ring-theory
representation-theory
noncommutative-algebra
semi-simple-rings
Singular points of orders of a number field
abstract-algebra
number-theory
algebraic-geometry
algebraic-number-theory
arithmetic-geometry
Is $x^3+y^3+z^3-1$ irreducible over a field $k$ of characteristic $\neq 3$?
abstract-algebra
polynomials
ring-theory
irreducible-polynomials
What are the self-normalizing subgroups of $S_n$?
abstract-algebra
group-theory
finite-groups
symmetric-groups
normal-subgroups
Prove: A group $G$ is abelian if and only if the map $G\rightarrow G$ given by $x\mapsto x^{-1}$ is an automorphism.
abstract-algebra
group-theory
abelian-groups
group-homomorphism
Prove $\mathbb{Q}(\sqrt{2},\sqrt{3},\sqrt{5}):\mathbb{Q}$ is a simple extension
abstract-algebra
field-theory
extension-field
Ideals and filters
abstract-algebra
ring-theory
order-theory
Opposite Clifford-Algebra
abstract-algebra
clifford-algebras
Count elements in a cyclic group of given order
abstract-algebra
group-theory
Equivalence of two characterizations of the norm of a quadratic integer.
abstract-algebra
number-theory
gaussian-integers
A finite divisible group is trivial
abstract-algebra
group-theory
finite-groups
Path Connectedness and continuous bijections
general-topology
continuity
connectedness
abstract-algebra
On conjugacy class size of finite groups.
abstract-algebra
group-theory
finite-groups
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