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I'm interested in finding a textbook to learn group cohomology, a book that contains a lot of examples and also a lot of good exercises to test my understanding. I would appreciate some feedback. Thanks.


Added from the comments:

I like group extensions and finite Galois groups. These days, I'm mostly interested in doing a lot of hand computations in group cohomology, playing around, finding and creating examples when I'm inspired to created some.

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    One canonical reference is K. Brown's cohomology of groups, especially suitable if you have a geometric and topological flair. It has lots of good exercises, ranging from very simple to quite involved. Any introduction to homological algebra contains at least a section on group cohomology. Here, I'd especially recommend Hilton-Stammbach's classic.2011-05-26
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    I like group extensions and finite Galois groups. These days, I'm mostly interested in doing a lot of hand computations in group cohomology, playing around, finding and creating examples when I'm inspired to created some. Learning by doing.2011-05-26
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    I second Brown's cohomology of groups.2011-05-26

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