New posts in Infinite Groups

Automorphism group of the group $(\mathbb{R}^n,+)$

Probability of selecting an even natural number from the set $\Bbb N$.

Generalisation of integers for infinite length?

Trying to prove that $H=\langle a,b:a^{3}=b^{3}=(ab)^{3}=1\rangle$ is a group of infinite order.

Does there exist any surjective group homomorphism from $(\mathbb R^* , .)$ onto $(\mathbb Q^* , .)$?

Is every infinite set equipotent to a field?

Does there exist a surjective homomorphism from $(\mathbb R,+)$ to $(\mathbb Q,+)$ ?

Homogeneous groups

Torsion Subgroup (Just a set) for an abelian (non abelian) group.

Does every infinite group have a maximal subgroup?