Newbetuts
.
New posts in abelian-groups
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
Squeeze Theorem for Abelian Groups
group-theory
abelian-groups
Classify finitely generated modules over the ring $\mathbb{C}[\epsilon]$ where $\epsilon^2=0$
modules
abelian-groups
Distributions over locally compact Abelian groups: when can they be Fourier transformed?
abelian-groups
distribution-theory
locally-compact-groups
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
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
A problem about abelian group
abstract-algebra
group-theory
abelian-groups
Group tables for a group of four elements.
abstract-algebra
group-theory
finite-groups
abelian-groups
If N and every subgroup of N is normal in G then G/N is abelian .
abstract-algebra
group-theory
abelian-groups
Equality of rank for homology and cohomology groups via the universal coefficient theorem
algebraic-topology
abelian-groups
homology-cohomology
Is the group of positive rationals under multiplication isomorphic to its subgroup consisting of rationals with odd numerators and denominators?
abstract-algebra
group-theory
abelian-groups
"Classify $\mathbb{Z}_5 \times \mathbb{Z}_4 \times \mathbb{Z}_8 / \langle(1,1,1)\rangle$"
abstract-algebra
group-theory
abelian-groups
If $H$ is a subgroup of a finite abelian group $G$, then $G$ has a subgroup that is isomorphic to $G/H$.
group-theory
abelian-groups
group-isomorphism
quotient-group
direct-product
Show that any subgroup of a finitely generated abelian group is finitely generated?
abstract-algebra
induction
abelian-groups
group-presentation
combinatorial-group-theory
Does the splitting lemma hold without the axiom of choice?
homological-algebra
homological-algebra
abelian-groups
abelian-groups
axiom-of-choice
axiom-of-choice
Are there any non-obvious colimits of finite abelian groups?
category-theory
abelian-groups
direct-sum
universal-property
Prove that every proper subgroup of the group of all $2^n$-th roots of unity is finite.
group-theory
abelian-groups
infinite-groups
Prove $G$ is abelian if $f(f(x)) = x$?
abstract-algebra
group-theory
finite-groups
abelian-groups
Prev
Next