New posts in finite-groups

A group of order $p^2q$ will be abelian

prove that $H\cap K$ have finite index in G

Show that a group of order $180$ is not simple.

Explicit descriptions of groups of order 45

Other proofs that subgroups of $A_5$ have order at most 12

The use of conjugacy class and centralizer?

Finite normal subgroups of $\operatorname{SU}(n)$

Size of the product of two subgroups

Show that number of solutions satisfying $x^5=e$ is a multiple of 4?

What are all finite groups such that all isomorphic subgroups are identical?

Symmetry groups corresponding to terms in an algebra

Let $G$ a group of order $6$. Prove that $G \cong \Bbb Z /6 \Bbb Z$ or $G \cong S_3$. [closed]

Showing that a Sylow subgroup of a group of order $p^{2}q$ is normal.

Finding the "square root" of a permutation

Does $abab=baba$ imply commutativity in a Group of uneven order?

If a finite group $G$ is solvable, is $[G,G]$ nilpotent?

Are computer integers a finite group (under addition with overflow)?

Do there exist simple groups of order $n(n+1)$ for some integer $n>1$?

Is almost any group generated by two generators?

Show that $U(8)$ is Isomorphic to $U(12)$.