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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Group Theory Book

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.

The textbooks of Weber and Burnside helped establish group theory as a discipline. Late 19th century[ edit ] Groups in the period were described as the continuous groups of Lie, the discontinuous groups, finite groups of substitutions of roots gradually being called permutations , and finite groups of linear substitutions usually of finite fields. During the period, groups described by presentations came into a life of their own through the work of Cayley, Walther von Dyck , Max Dehn , Jakob Nielsen , Otto Schreier , and continued in the period with the work of H. Coxeter , Wilhelm Magnus , and others to form the field of combinatorial group theory. Already by , the groups of automorphisms of the finite projective planes had been studied by Mathieu , and in the s Klein's group-theoretic vision of geometry was being realized in his Erlangen program. The study was continued by Moore and Burnside, and brought into comprehensive textbook form by Leonard Dickson in

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Popular Group Theory Books

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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Group Theory

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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