Contemporary Abstract Algebra
.Let G be a group.
Show that the set Aut(G) consisting of all automorphisms of G is a subgroup of Sym(G)
Show that if G is non-abelian, then |Aut(G)|>1.
2.Determine, with justification, the group Aut(Z10) (your answer should include a full table of products). Is it abelian?
3.Let n≥2. Determine, with justification, the index of On(R) in GLn(R)
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