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New posts in finite-groups
The classification all finite groups which possess a single proper non-trivial normal subgroup
group-theory
reference-request
finite-groups
Difference of fixed points by subgroup action
group-theory
finite-groups
group-actions
Literature on group theory of Rubik's Cube
abstract-algebra
group-theory
finite-groups
permutations
rubiks-cube
Are There Always More Conjugacy Classes in the Kernel of a Morphism to $\Bbb Z_2$ than Not?
abstract-algebra
combinatorics
group-theory
finite-groups
group-cohomology
Question about normal subgroup and relatively prime index
abstract-algebra
finite-groups
A group of order $120$ cannot be simple
abstract-algebra
group-theory
finite-groups
sylow-theory
Show that $S_4/V$ is isomorphic to $S_3 $, where $V$ is the Klein Four Group.
abstract-algebra
group-theory
finite-groups
A non-abelian group of order $ 6 $ is isomorphic to $ S_3 $
abstract-algebra
group-theory
finite-groups
Prove: if $a,b\in G$ commute with probability $>5/8$, then $G$ is abelian
probability
abstract-algebra
group-theory
finite-groups
Group with two generators of order 3 is finite
abstract-algebra
finite-groups
Conjugacy classes of a $p$-group
group-theory
finite-groups
p-groups
Does the list of "number of groups of order $n$" contain every natural number?
abstract-algebra
group-theory
finite-groups
open-problem
groups-enumeration
Homomorphism between cyclic groups
group-theory
finite-groups
cyclic-groups
What do Sylow 2-subgroups of finite simple groups look like?
finite-groups
sylow-theory
simple-groups
fusion-systems
2-groups
Prove $\mathbb{Z}_4\ncong \mathbb{Z}_2\times\mathbb{Z}_2$
abstract-algebra
group-theory
solution-verification
finite-groups
group-isomorphism
Prove that there exists a $z \in Z(G)$ such that $yx = zxy$.
group-theory
finite-groups
normal-subgroups
p-groups
Show a certain group is contained in a Sylow p-group.
group-theory
finite-groups
Are symmetries necessary in group action?
group-theory
finite-groups
representation-theory
group-actions
symmetric-groups
Find all homomorphisms from $\mathbb{Z_{12}}$ to $\mathbb{Z_{18}}$ [duplicate]
group-theory
finite-groups
cyclic-groups
group-homomorphism
Problem about solvable groups
group-theory
finite-groups
sylow-theory
solvable-groups
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