New posts in finite-groups

Minimal counterexamples of the isomorphism problem for integral group rings

Conditions for cyclic quotient group

If $H\unlhd G$ with $(|H|,[G:H])=1$ then $H$ is the unique such subgroup in $G$.

A group of order $p^2q^2$ is never simple

Product of two subsets of a group

If $G$ is a finite group, $H$ is a subgroup of $G$, and there is an element of $G/H$ of order $n$, then there is an element of $G$ of order $n$

Calculate the order in cycle notation [closed]

character degrees of finite simple groups: an elementary question

Why choose $ab$ and $ab^2$ for group with $6$ elements?

What is an irreducible character of a finite group?

The following claim regarding Groups isn't correct, why?

Prove that any group of order 15 is cyclic? [duplicate]

automorphisms of a finite field

Estimates on conjugacy classes of a finite group.

prove : if $G$ is a finite group of order $n$ and $p$ is the smallest prime dividing $|G|$ then any subgroup of index $p$ is normal

How useful are geometric aspects when studying finite groups?

Intuition behind the construction of Young Symmetrizer

Characterization of $A_5$ by the Centralizer of an Involution

Exercise 4.7, I. Martin Isaacs' Character Theory

$G$ abelian group with $\vert G\vert =mn$ and $\gcd(m,n)=1$.