New posts in group-theory

Various definitions of group action

Relation between congruence subgroups. $\Gamma(M)\Gamma(N) = \Gamma(\gcd(M,N))$

Classifying groups of order 21.

Probability that two random permutations of an $n$-set commute?

Are surjective sheaf morphisms locally surjective?

Intersection of cosets from possibly distinct subgroups is either empty or a coset of the intersection between the two subgroups

Description of flipping tableau for inversions in reduced decompositions of permutations

Classifing groups of order 56: problems with the semidirect product

why do most finite groups of order 128 resemble (at a distance) the elementary abelian group?

Can we see directly from the cocycle condition that 2-cocycles are symmetric?

A canonical construction proving $\left|HK\right| = \left|H\right|\left|K\right| / \left|H \cap K\right|$?

Subgroups of $D_4$

Is $gnu(2304)$ known?

Any simple group of order $60$ is isomorphic to $A_5$

What is the smallest $n$ for which the usual "counting sizes of conjugacy classes" proof of simplicity fails for $A_n$?

Finding the smallest set on which a group acts faithfully

Upper bounds for the number of intermediate subgroups

A condition of abelian groups related to an automorphism

Show that there is no subgroup of $S_n$ of order $(n-1)!/n$.

About the Order of Groups