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For the permutation group in particular, it's hard to beat Sagan's 'The Symmetric Group.' It's a bit more recent, and covers lots of really beautiful topics, an
by sdenton4 5y ago
For the permutation group in particular, it's hard to beat Sagan's 'The Symmetric Group.' It's a bit more recent, and covers lots of really beautiful topics, and really shows off the nice connections between the combinatorics of S_n and the representation theory.
https://www.springer.com/gp/book/9780387950679 https://www.springer.com/gp/book/9780387950679
- abetusk 5y agoThanks for the recommendation. Just briefly reviewing it, this is the kind of book I tend to shy away from. I'm sure it's a good reference for a particular type of group theory but I doubt I would use this type of book for anything but a reference. I can't find any mention of "strong generating set" or algorithmic considerations of how to actually compute with permutation groups. As with many of the Springer books, it feels like a collection of scattered knowledge without a cohesive narrative. It's completely possible I'm missing something with this book, especially since I haven't read it, and that for more mathematically minded folks, this book is a better introduction.