center of free product of groups
40451
Center of a free product
35913
Abelianization of free group is the free abelian group
88930
Homomorphism between free groups
19720
A normal subgroup intersects the center of the $p$-group nontrivially
132127
Proving a direct product of groups is a group
27472
Prove that $PSL(2,\mathbb{Z})$ is free product of $C_2$ and $C_3$
37971
Prove that the center of a group is a normal subgroup
61394
The product of finitely many cyclic groups is cyclic
36709
subgroup of direct product of two groups
25832
Let $K$ be a normal subgroup of order 2 in group $G$, show that $K$ lies in the centre of $G$
30676
$G'$ and the product of all the elements in an odd order group
88304
Center of $D_6$ is $\mathbb{Z}_2$
85222
Direct sum of finitely-many non-abelian groups
93198
The order of a conjugacy class is bounded by the index of the center
12502
The center of a non-Abelian group of order 8
72767
Center of the dihedral group with odd and even number of vertices
39895
Showing a free abelian group is generated by its basis