There are introductory as well as advanced books or textbooks about group theory. There are books/textbooks about general group theory. This book quickly introduces beginners to general group theory and then focuses on three main themes: finite group theory, including sporadic groups. Books shelved as group-theory: Visual Group Theory (MAA Classroom Resource Materials) by Nathan Carter, An Introduction to the Theory of Groups by Joseph.
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What about the book An introduction to the Theory of Groups by Joseph Rotman? It is in my opinion a classic. as a supplement to courses in group theory and modern algebra. Little prior The aim of this book is to make the study of group theory easier. Each chapter. Here are a few of my favorite references. For general group theory, my favorite reference is Rotman's book. For finite groups, my favorite.
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Galois Theory Emil Artin. Algebra Serge Lang. Undecidable Theories Alfred Tarski. Symmetry Roy McWeeny. Schaum's Outline of Group Theory B. Commutative Algebra David Eisenbud. It's simply a classic! In both of these books, the structure theory of linear algebraic groups uses some algebraic geometry and representation theory.
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Because it has attracted low-quality or spam answers that had to be removed, posting an answer now requires 10 reputation on this site the association bonus does not count. Would you like to answer one of these unanswered questions instead? Home Questions Tags Users Unanswered. What are some good group theory references? Ask Question. For general group theory, my favorite reference is Rotman's book. Andy Putman. Jonathan Kiehlmann.
Then again, I actually read Serre first, so maybe I'm mistaken. However, Scott and Wall don't really give any killer applications, while Serre gives an astonishingly slick proof of Ihara's theorem.
You should thus probably read both. Yiftach Barnea.
I regret not to own it, so I have to go to the library to have a look at it. It is more a matter of taste. However, I do find fraktur symbols incredibly hard to read. But that might be because Hebrew is my first language. Share your thoughts with other customers.
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