What is wrong with this proof (Subgroup of Free group is a Free group)
126328
What is tricky about proving the Nielsen–Schreier theorem?
56650
Prove that $(G, \circ)$ is a group if $a\circ x = b$ and $x\circ a = b$ have unique solutions
57309
Show that the free group on $n$ generators is a finite index subgroup of $F_2$
26624
Prove that is group is abelian
56245
Let H be a subgroup of a group G. Prove that the following statements are equivalent.
122821
Is the following proof valid? About the closure of a subgroup, of a topological group, being again a subgroup
11003
Proving that $G/N$ is an abelian group
132127
Proving a direct product of groups is a group
93666
Does the closedness of a subgroup $H$ of $G$ imply that for $h\in H, g\in G \setminus H : hg \not \in H$?
23279
Group Theory Isomorphism
35913
Abelianization of free group is the free abelian group
55350
H is a subgroup of G and G' is a subgroup of H. Prove H is normal in G.
151130
When is the product of $n$ subgroups a subgroup?
4883
Let $H$ be a subgroup of a group $G$ such that $x^2 \in H$ , $\forall x\in G$ . Prove that $H$ is a normal subgroup of $G$
90081
problems in group theory
46116
Proof of the First Isomorphism Theorem for Groups
16172
My proof of $I \otimes N \cong IN$ is clearly wrong, but where have I gone wrong?