Characterize the automorphisms of cyclic group of order n
Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 2.3 Exercise 2.3.26 Let $Z_n = \langle \alpha \rangle$ be a cyclic group of order $n$ and for each…
The set of all group automorphisms of a fixed group is a group
Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 1.6 Exercise 1.6.20 Let $G$ be a group and let $\mathsf{Aut}(G)$ be the set of all isomorphisms $G \rightarrow…