Show the derived subgroup is the centre of the group
43580
Let $p$ be a prime number and $G$ a non abelian group or order $p^3$. Prove that $Z(G) = [G,G]$.
72932
Center of Lie group and Lie algebra
153921
Infinite nilpotent group, any normal subgroup intersects the center nontrivially
5089
An element of a group has the same order as its inverse
25624
Show the Dihedral Group $D_n$ is generated by rotations and reflection along the x axis.
138410
Centralizer of $\mathbb{C}[G]$ in $\mathbb{C}[H]$
69820
A nontrivial p-group has nontrivial center
58076
Subgroup generated by a set
30793
Intuition behind normal subgroups
120155
How to show that this group presentation is isomorphic to dihedral group?
157330
Showing the image of a subgroup is a subgroup.
5599
Proving an inclusion for the derived group
7528
Index of the center of a group in the group is not a prime number
158975
Isomorphism of centers of isomorphic groups
94479
What is the center of $D_{2n}/Z(D_{2n})$
80273
Prove the centralizer of an element in group $G$ is a subgroup of $G$
147298
How to find all subgroups of a direct product?