I am reading "Abstract Algebra: Structures and Applications" by Stephen Lovett ...(adsbygoogle = window.adsbygoogle || []).push({});

I am currently focused on Chapter 8: Galois Theory, Section 1: Automorphisms of Field Extensions ... ...

I need help with Proposition 11.1.11 on page 560 ... ...

Proposition 11.1.11 reads as follows:

In the above Proposition from Lovett we read the following:

" ... ... Since ##\sigma## is a homomorphism ##U(F) \ \rightarrow \ U(F)## ... ... "

My question is ... ... what is ##F## ... is it a typo ... should it be ##K ##...

Hoping someone can help ... ...

Peter

NOTE: ##U(F)## in Lovett means the group of units of the ring ##F## ...

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# I Galois Theory - Fixed Subfield of K by H ...

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