New posts in infinite-groups

Is the free product of residually finite groups always residually finite?

Prove that every proper subgroup of the group of all $2^n$-th roots of unity is finite.

Classify all groups containing isomorphic copy of $\mathbb{Z}$ of index $2$.

Existence of deep enough open subgroups in profinite groups

Can $\mathbb{R}$ be written as an ascending union of proper additive subgroups?

Elementary equivalence of free groups

Group G Preserving a Flag is Solvable

Nonabelian infinite nilpotent groups

Is there a standard name for this infinite group?

Let $G$ be a non-trivial group with no non-trivial proper subgroup. Prove that $G$ cannot be infinite group.

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

Proof that $n\Bbb Z \leq \Bbb Z$ and are the only subgroups of $\Bbb Z$

Is the unit circle the only infinite compact subgroup of the multiplicative group of non-zero complex numbers?

Isomorphisms for Infinite Direct Products of Groups

Every infinite G has a S.T $o(a)=\infty?$ [closed]

Can a group have a cyclical derived series?

Does $A^{-1}A=G$ imply that $AA^{-1}=G$? [closed]

Injecting a group into itself

Automorphisms of infinite abelian groups

Finitely generated group has only finitely many subgroups of given index