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New posts in group-theory
Abelian group admitting a surjective homomorphism onto an infinite cyclic group
abstract-algebra
group-theory
abelian-groups
cyclic-groups
Creating a Rubik's Cube Algorithm
group-theory
algorithms
rubiks-cube
Rolling icosahedron Hamiltonian path
group-theory
graph-theory
recreational-mathematics
polyhedra
tiling
Assume $H,G$ are simple groups. Can we prove that either $H\unlhd HG$ or $H\unlhd GH$?
group-theory
normal-subgroups
simple-groups
$S_3$ acting on a subgroup -- confirming my computation is correct
group-theory
finite-groups
group-actions
symmetric-groups
Solvable subgroups of $S_p$ of order divisible by $p$
abstract-algebra
group-theory
galois-theory
Which $p$-groups can be Sylow p-subgroups with trivial intersection?
group-theory
finite-groups
p-groups
The smallest group with 3 generators
group-theory
finite-groups
Show that a group of order $p^2q^2$ is solvable
abstract-algebra
group-theory
solvable-groups
The center of a group is an abelian subgroup
abstract-algebra
group-theory
abelian-groups
Determine all homomorphic images of $D_4$ up to isomorphism.
abstract-algebra
group-theory
finite-groups
definition
How many homomorphism from $S_3$ to $S_4$?
abstract-algebra
group-theory
finite-groups
group-homomorphism
Free groups in some classes?
group-theory
free-groups
solvable-groups
If G is a primitive group action on A, then $G_a$ is a maximal subgroup of G
abstract-algebra
group-theory
Is the general linear group generated by elementary matrices?
abstract-algebra
group-theory
matrices
Relation between the index of a group and its center and the order of the commutator
group-theory
representation-theory
abelian-groups
characters
If Cylic subgroup implies abelian implies normal then how A5 is simple group [closed]
group-theory
abelian-groups
normal-subgroups
cyclic-groups
sylow-theory
How to show a group is cyclic?
group-theory
number-theory
Elementary equivalence of free groups
group-theory
model-theory
infinite-groups
Solution to $x^n=a \pmod p$ where $p$ is a prime
group-theory
elementary-number-theory
modular-arithmetic
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