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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).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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).
Transcribed Image Text: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).
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