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New posts in finite-groups
Nonisomorphic groups of order 12.
abstract-algebra
group-theory
finite-groups
Showing that for $G = \langle x \rangle$ if $|G|$ is odd, then $\phi$ is an injection.
abstract-algebra
group-theory
finite-groups
cyclic-groups
group-homomorphism
Prove that $[G : H] \equiv [N_G(H) : H] \bmod p$ [closed]
abstract-algebra
group-theory
finite-groups
Variational formulations in group theory?
probability
group-theory
finite-groups
random-variables
big-list
Reconciling Different Definitions of Solvable Group
abstract-algebra
group-theory
finite-groups
solvable-groups
The "fake $\mathrm{GL}_2(\mathbb{F}_3)$" and the binary octahedral group
group-theory
finite-groups
representation-theory
symmetric-groups
exceptional-isomorphisms
How many subgroups does $\mathbb{Z}_6 \times\mathbb{Z}_6 \times\mathbb{Z}_6 \times\mathbb{Z}_6 $ have?
abstract-algebra
group-theory
finite-groups
$\mathbb{Z}_pH$-module
group-theory
finite-groups
modules
representation-theory
group-actions
How many different elements can we obtain by multiplying all element in a group?
abstract-algebra
group-theory
finite-groups
If $G$ is a group, $H$ is a subgroup of $G$ and $g\in G$, is it possible that $gHg^{-1} \subset H$? [duplicate]
abstract-algebra
group-theory
finite-groups
infinite-groups
Binary tetrahedral group and $\rm{SL}_2(\mathbb F_3)$
group-theory
finite-groups
quaternions
exceptional-isomorphisms
Another point of view that $\mathbb{Z}/m\mathbb{Z} \times\mathbb{Z}/n\mathbb{Z}$ is cyclic.
group-theory
finite-groups
alternative-proof
Presentation of Rubik's Cube group
group-theory
finite-groups
group-presentation
rubiks-cube
Books to understand the construction of all groups of a specific order
group-theory
reference-request
algorithms
finite-groups
Order of the Rubik's cube group
abstract-algebra
group-theory
finite-groups
rubiks-cube
Embedding of group such that two elements of same order become conjugate
group-theory
finite-groups
Conjugacy classes and centralizers of a SmallGroup
abstract-algebra
group-theory
finite-groups
representation-theory
gap
Do all algebraic integers in some $\mathbb{Z}[\zeta_n]$ occur among the character tables of finite groups?
representation-theory
finite-groups
characters
Name for the fact that a mattress can't be evenly rotated by repeatedly applying the same transformation?
combinatorics
group-theory
finite-groups
An automorphism that has no fixed points except for the identity and is its own inverse implies commutativity
group-theory
finite-groups
permutations
group-homomorphism
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