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I am reading Anderson and Feil - A First Course in Abstract Algebra.
I am currently focused on Ch. 24: Abstract Groups ... ...
I need some help in understanding some claims in Chapter 24 by Anderson and Feil ... ...Anderson and Feil claim that ##\text{Aut} ( \mathbb{C} )## is a group with only two elements ##\{i, f \}## ... ... where ##i## is the identity automorphism and ##f## is the complex conjugation map defined by ##f(a + bi) = a - bi## ... ...
... can someone please help me to prove the assertion that ##\text{Aut} ( \mathbb{C} )## is a group with only two elements ##\{i, f \}## ...
Peter
I am currently focused on Ch. 24: Abstract Groups ... ...
I need some help in understanding some claims in Chapter 24 by Anderson and Feil ... ...Anderson and Feil claim that ##\text{Aut} ( \mathbb{C} )## is a group with only two elements ##\{i, f \}## ... ... where ##i## is the identity automorphism and ##f## is the complex conjugation map defined by ##f(a + bi) = a - bi## ... ...
... can someone please help me to prove the assertion that ##\text{Aut} ( \mathbb{C} )## is a group with only two elements ##\{i, f \}## ...
Peter