Center of free group (of rank greater than 1) is trivial
74978
How the center of a non-cyclic free Group is trivial?
133664
When the automorphism group is trivial......
95867
Subgroup of $C^*$ (nonzero complex) with finite index.
7640
Exactly one nontrivial proper subgroup
72932
Center of Lie group and Lie algebra
63253
Computing easy direct limit of groups
80381
Groups with "few" subgroups
7528
Index of the center of a group in the group is not a prime number
104509
The center of $A_n$ is trivial for $n \geq 4$
40846
When can a (finite) group be written as the quotient of some other group by its center?
11393
The center of the dihedral group
13742
Proving that a normal, abelian subgroup of G is in the center of G if |G/N| and |Aut(N)| are relatively prime.
72767
Center of the dihedral group with odd and even number of vertices
131519
intuition on the fundamental group of $S^1$
33868
A transformation between two free group actions.
129830
A group with no proper non-trivial subgroups
84738
Center of Odd Dihedral Group