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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 \(\displaystyle \text{Aut} ( \mathbb{C} ) \)is a group with only two elements \(\displaystyle \{i, f \}\) ... ... where \(\displaystyle i\) is the identity automorphism and \(\displaystyle f\) is the complex conjugation map defined by \(\displaystyle f(a + bi) = a - bi\) ... ...
... can someone please help me to prove the assertion that \(\displaystyle \text{Aut} ( \mathbb{C} ) \)is a group with only two elements \(\displaystyle \{i, f \}\) ...
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 \(\displaystyle \text{Aut} ( \mathbb{C} ) \)is a group with only two elements \(\displaystyle \{i, f \}\) ... ... where \(\displaystyle i\) is the identity automorphism and \(\displaystyle f\) is the complex conjugation map defined by \(\displaystyle f(a + bi) = a - bi\) ... ...
... can someone please help me to prove the assertion that \(\displaystyle \text{Aut} ( \mathbb{C} ) \)is a group with only two elements \(\displaystyle \{i, f \}\) ...
Peter