The Question 7 If G is a group, isomorphisms from G to itself are called automorphisms set of automorphisms of G is denoted Aut(G). Show that Aut(G) is a group (the operation is function composition).

The Question 7 If G is a group, isomorphisms from G to itself are called automorphisms set of automorphisms of G is denoted Aut(G). Show that Aut(G) is a group (the operation is function composition).

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.5: Isomorphisms

Problem 21E: For a fixed group G, prove that the set of all automorphisms of G forms a group with respect to...

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