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Algebraic Methods by Frédérique Oggier - PDF
About this book :- This work is dedicated to developing algebraic methods for channel coding. Its goal is to show that in different contexts, namely single-antenna Rayleigh fading channels, coherent and non-coherent MIMO channels, algebraic techniques can provide useful tools for building efficient coding schemes. This text is a set of lecture notes provides a clear, structured introduction to key algebra topics. It starts with group theory and covering basic ideas like subgroups, cosets, Lagrange’s theorem, and more advanced concepts like Sylow theorems, Jordan–Hölder, and solvable groups. Then it moves into beginner Galois theory, including the Primitive Element Theorem. Oggier’s notes draw on trusted textbooks (like Robert Ash for group theory and Stewart for Galois theory), include historical background, and offer a handful of exercises from sources like Lam and Berhuy.
Book Detail :- Title: Algebraic Methods by Frédérique Oggier - PDF Publisher: Nanyang Technological University Year: 2011 Pages: 199 Type: PDF Language: English ISBN-10 #: N\A ISBN-13 #: N\A License: Linked Content Owned by Author Amazon: Amazon
About Author :- The author Frédérique Elise Oggier Frédérique Elise Oggier is a Swiss mathematician and coding theorist who works as an associate professor of physical and mathematical sciences at Nanyang Technological University in Singapore.
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Book Contents :- 1. Group Theory 2. Exercises on Group Theory 3. Ring Theory 4. Exercises on Ring Theory 5. Field Theory 6. Exercises for Field Theory 7. Galois Theory 8. Exercises on Galois Theory
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