Why is the Automorphism group of cyclic group of order of power eof 2 not just $Z 2^{n-1}$
124455
Why multiplicative group $\mathbb{Z}_n^*$ is not cyclic for $n = 2^k$ and $k \ge 3$
65900
Show that a finite group with certain automorphism is abelian
38153
Looking for a simple proof that groups of order $2p$ are up to isomorphism $\mathbb{Z}_{2p}$ and $D_{p}$ .
75127
Group $G$ of order $p^2$: $\;G\cong \mathbb Z_{p^2}$ or $G\cong \mathbb Z_p \times \mathbb Z_p$
58397
Every cyclic group with order > 2 has at least 2 distinct generators
34972
order of non abelian group can't be what?
85018
When is the automorphism group of the Cayley graph of $G$ just $G$?
1577
Order of nontrivial elements is 2 implies Abelian group
47478
Show that any cyclic group of even order has exactly one element of order $2$
33455
Question on group homomorphisms involving the standard Z-basis
33025
What is the order of $(\mathbb{Z} \oplus \mathbb{Z})/ \langle (2,2) \rangle$ and is it cyclic?
150207
Non isomorphic subgroups of cyclic groups
88718
A group is generated by two elements of order $2$ is infinite and non-abelian
107091
Taking the automorphism group of a group is not functorial.
72991
Is every group the automorphism group of a group?
104460
When a group is cyclic
53357
Cyclic Group Generators of Order $n$