Group Theory with GAP
Group Theory with GAP
An introduction to group theory with emphasis on concrete calculations
About the Book
This book will teach you some abstract algebra by focussing on concrete calculation. We will use the computer algebra system GAP to relief us from the tedium of calculating and reap the rewards of the results.
About the Author
Table of Contents
-
Cosets
- Proof
- Exercises
-
Lagrange
- Proof
- GAP
- Exercises
-
Action
- Examples
- Orbits
- Proof
- Properties
- GAP
- Exercises
-
Orbit Stabilizer Theorem
- Order of the symmetry group of the Cube
- Proof
- GAP
- Excercise
-
Burnside’s Lemma
- Necklaces
- Proof
- GAP
- Exercises
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