New posts in finite-groups

Nonisomorphic groups of order 12.

Showing that for $G = \langle x \rangle$ if $|G|$ is odd, then $\phi$ is an injection.

Prove that $[G : H] \equiv [N_G(H) : H] \bmod p$ [closed]

Variational formulations in group theory?

Reconciling Different Definitions of Solvable Group

The "fake $\mathrm{GL}_2(\mathbb{F}_3)$" and the binary octahedral group

How many subgroups does $\mathbb{Z}_6 \times\mathbb{Z}_6 \times\mathbb{Z}_6 \times\mathbb{Z}_6 $ have?

$\mathbb{Z}_pH$-module

How many different elements can we obtain by multiplying all element in a group?

If $G$ is a group, $H$ is a subgroup of $G$ and $g\in G$, is it possible that $gHg^{-1} \subset H$? [duplicate]

Binary tetrahedral group and $\rm{SL}_2(\mathbb F_3)$

Another point of view that $\mathbb{Z}/m\mathbb{Z} \times\mathbb{Z}/n\mathbb{Z}$ is cyclic.

Presentation of Rubik's Cube group

Books to understand the construction of all groups of a specific order

Order of the Rubik's cube group

Embedding of group such that two elements of same order become conjugate

Conjugacy classes and centralizers of a SmallGroup

Do all algebraic integers in some $\mathbb{Z}[\zeta_n]$ occur among the character tables of finite groups?

Name for the fact that a mattress can't be evenly rotated by repeatedly applying the same transformation?

An automorphism that has no fixed points except for the identity and is its own inverse implies commutativity