Universal property of free abelian group implies $\phi(S)$ generates F
39895
Showing a free abelian group is generated by its basis
26233
$[K(\zeta_n):K]=\phi(n)$?
68128
Two term free resolution of an abelian group.
32965
Proving that for infinite $\kappa$, $|[\kappa]^\lambda|=\kappa^\lambda$
96878
A finite group with the property that all of its proper subgroups are abelian
82878
Order of cyclic groups and the Euler phi function
53357
Cyclic Group Generators of Order $n$
146951
Every countably generated sigma algebra is generated by a random variable
133660
When can a homomorphism be determined entirely by its generators
141843
n-dimensional vector space isomorphic to the n-th product of a field as abelian groups
120097
Reference Request: Abelianization of free product is the direct sum of abelianizations
1712
$ d_1,d_2\mid n\iff {\rm lcm}(d_1,d_2)\mid n\ $ [LCM Universal Property]
88930
Homomorphism between free groups
120971
(Revised) Prove that $\phi$ is a group homomorphism and find the kernel.
137896
Isomorphism equivalence implies fundamental group is abelian
82310
Epimorphisms from a free group onto a free group
30825
Infinite coproduct of abelian groups