While there is no official solutions manual published by the authors or publisher for Abstract Algebra by David S. Dummit Richard M. Foote

GitHub - sol-dummit-foote: The open-source repository for Kikola's solutions, allowing you to track updates or build the PDF from source.

Exercise 5.2.10

Let $F$ be a field and $L$ a finite extension of $F$. Show that if $[L:F] = n$, then $L$ has at most $n$ distinct $F$-automorphisms.

  1. Solutions Manual by Scott: This is an unofficial solutions manual created by Scott M. Dunn, covering some exercises from the book.
  2. Study Guide by Gary: Another unofficial study guide, created by Gary M. Levelled, which provides detailed solutions to many exercises.

Reverse Engineering: If you must use a solution, read only the first line to identify the "trick" or starting theorem, then try to finish the proof yourself.