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New posts in normal-subgroups
Commutator of two normal subgroups with trivial intersections
abstract-algebra
group-theory
normal-subgroups
Every normal subgroup is the kernel of some homomorphism
abstract-algebra
group-theory
normal-subgroups
group-homomorphism
How to show that $K\leq S_4$ is a normal subgroup?
group-theory
symmetric-groups
normal-subgroups
How do algebraists intuitively picture normal subgroups and ideals?
abstract-algebra
group-theory
ring-theory
ideals
normal-subgroups
Direct product of two normal subgroups
abstract-algebra
group-theory
proof-verification
normal-subgroups
Problem handling free groups in algebraic topology
group-theory
algebraic-topology
normal-subgroups
fundamental-groups
free-groups
Example of a Subgroup That Is Not Normal
abstract-algebra
group-theory
normal-subgroups
Subgroups containing kernel of group morphism to an abelian group are normal. [closed]
abstract-algebra
group-theory
abelian-groups
normal-subgroups
group-homomorphism
Is every subgroup of a normal subgroup normal?
group-theory
examples-counterexamples
normal-subgroups
Prove that every subgroup of an abelian group is a normal subgroup.
group-theory
normal-subgroups
A normal subgroup is the union of conjugacy classes.
group-theory
solution-verification
normal-subgroups
The preimage of a normal subgroup under a group homomorphism is normal
abstract-algebra
group-theory
normal-subgroups
group-homomorphism
Proving that the kernel of a homomorphism is exactly equal to a normal subgroup $A'$
group-theory
proof-explanation
normal-subgroups
group-homomorphism
Extending homomorphism on subgroup to the whole group
group-theory
normal-subgroups
group-homomorphism
Show that $G/H\cong S_3$
abstract-algebra
group-theory
symmetric-groups
normal-subgroups
$H_1 ,H_2 \unlhd \, G$ with $H_1 \cap H_2 = \{1_G\} $. Prove every two elements in $H_1, H_2$ commute
abstract-algebra
group-theory
abelian-groups
proof-explanation
normal-subgroups
Normal subgroups of infinite symmetric group
permutations
symmetric-groups
normal-subgroups
group-theory
Normal subgroups in groups of odd order
group-theory
finite-groups
normal-subgroups
When is $G/N \cong H/K$?
abstract-algebra
group-theory
normal-subgroups
group-isomorphism
quotient-group
Proving that $G/N$ is an abelian group
abstract-algebra
group-theory
normal-subgroups
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