Newbetuts

Prove: A group $G$ is abelian if and only if the map $G\rightarrow G$ given by $x\mapsto x^{-1}$ is an automorphism.

Non isomorphic groups who product with Z is isomorphic [duplicate]

Count elements in a cyclic group of given order

A finite divisible group is trivial

Finding the generators of a subgroup of $\mathrm{SL}_2(\mathbb Z)$

On conjugacy class size of finite groups.

Isomorphism of centers of isomorphic groups

Intersection of the $p$-sylow and $q$-sylow subgroups of group $G$

Computing Conjugacy Classes of Subgroups in GAP

Prove that the group $\mathrm{GL}(n, \mathbb{Z})$ is finitely generated [duplicate]

Squeeze Theorem for Abelian Groups

Group of order 30 can't be simple

Direct product of free groups

Semidirect product action and its geometry

New posts in group-theory

How is the automorphism group of a Lie group given a differential structure?

Proving that a group acting freely on a tree is a free group

Pedagogical examples of distinguishing "types of symmetry"

Find the Number of Group Homomorphisms from $\mathbb{Z}/10\mathbb{Z}$ to $A_4$.

What are the self-normalizing subgroups of $S_n$?

Concrete examples of group actions.

Prove: A group $G$ is abelian if and only if the map $G\rightarrow G$ given by $x\mapsto x^{-1}$ is an automorphism.

Non isomorphic groups who product with Z is isomorphic [duplicate]

Count elements in a cyclic group of given order

A finite divisible group is trivial

Finding the generators of a subgroup of $\mathrm{SL}_2(\mathbb Z)$

On conjugacy class size of finite groups.

Isomorphism of centers of isomorphic groups

Intersection of the $p$-sylow and $q$-sylow subgroups of group $G$

Computing Conjugacy Classes of Subgroups in GAP

Prove that the group $\mathrm{GL}(n, \mathbb{Z})$ is finitely generated [duplicate]

Squeeze Theorem for Abelian Groups

Group of order 30 can't be simple

Direct product of free groups

Semidirect product action and its geometry