query: Automorphism group of an abelian group abelian
positive_passages.docid: 18182
positive_passages.text: An abelian group $G$ with ${\rm Aut}(G)$ non-abelian
negative_passages.docid: 137816
negative_passages.text: Automorphism on integers
negative_passages.docid: 13631
negative_passages.text: Showing group with $p^2$ elements is Abelian
negative_passages.docid: 145159
negative_passages.text: Finite group is abelian if the representatives of its conjugacy classes commute
negative_passages.docid: 108310
negative_passages.text: $(a_1 a_2 \cdots a_n)^2=e$ in a finite abelian group
negative_passages.docid: 46342
negative_passages.text: Prove that $G$ is abelian iff $\varphi(g) = g^2$ is a homomorphism
negative_passages.docid: 106123
negative_passages.text: Is there a finite abelian group $G$ such that $\textrm{Aut}(G)$ is abelian but $G$ is not cyclic?
negative_passages.docid: 141124
negative_passages.text: Automorphisms of the ring $\Bbb Z[x]$ of polynomials with integer coefficients
negative_passages.docid: 57809
negative_passages.text: For which $n$, $G$ is abelian?
negative_passages.docid: 12455
negative_passages.text: $|G|>2$ implies $G$ has non trivial automorphism
negative_passages.docid: 146990
negative_passages.text: How to find the number of automorphisms on $\mathbb Z_2\times \mathbb Z_4$
negative_passages.docid: 126513
negative_passages.text: Automorphism of the group of rational numbers under addition
negative_passages.docid: 71035
negative_passages.text: Non abelian subgroup of a abelian group.
negative_passages.docid: 62035
negative_passages.text: Order of automorphism group of cyclic group
negative_passages.docid: 17510
negative_passages.text: Proving a set is an abelian group.
negative_passages.docid: 31380
negative_passages.text: Exponent and abelian groups
negative_passages.docid: 34606
negative_passages.text: Which groups have precisely two automorphisms