New posts in finite-groups

Polynomial with icosahedral symmetry

Prove that every finite p-group is nilpotent.

The smallest symmetric group $S_m$ into which a given dihedral group $D_{2n}$ embeds

Product of all elements in finite group

Is finite group theory still a fruitful area of research?

How are simple groups the building blocks?

Is an automorphism of a finite group inner when it preserves conjugacy of elements and subgroups?

On automorphisms of groups which extend as automorphisms to every larger group

Homomorphism $\psi$ from $S_3$ to $S_4$ [duplicate]

Every minimal normal subgroup of a finite solvable group is elementary abelian

Simple proof of the structure theorems for finite abelian groups

Identifying the finite symmetric groups

Proving that any permutation in $S_n$ can be written as a product of disjoint cycles

Find the upper central series of $Q_{2^n}$.

Let $p$ be a prime number and $G$ a non abelian group or order $p^3$. Prove that $Z(G) = [G,G]$.

Proving there is no non-abelian finite simple group of order a Fibonacci number

The Weaver Android app $\rightarrow$ cute combinatorics problem

How "abelian" can a non-abelian group be?

Is there a subgroup $H$ of $G$ of index $p$, where $p$ is the smallest prime dividing $|G|<\infty$? [closed]

Can the semidirect product of two groups be abelian group?