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. List Required Textbooks

- Group theory, W.R. Scott, Dover, 2010, ISBN 0486653773, 13: 9780486653778.

- Introduction to Group Theory, Oleg Bogopolski, TU Dortmund, Germany, 2008, ISBN 978-3-03719-041-8

List Recommended Textbooks and Reference Material

1. For general group theory, my favorite reference is Rotman's book.

2. For arithmetic groups (here there is some overlap with answer 3), I like Dave Witte Morris's book on the subject (it's not in print yet, but it is available on his webpage).

3. For some particular view of groups  as a geometric object , the favorite references are Bourbaki's volume on the subject and Mike Davis's "The Geometry and Topology of Coxeter Groups".

4. For geometric group theory, in addition to the wonderful book of Bridson and Haefliger that Henry mentioned, I like Pierre de la Harpe's book on the subject (mostly for the amazing bibliography).

For the symmetric group, I really like G. D. James's "The Representation Theory of the Symmetric Groups".

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