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I have been studying Fraleigh's Abstract algebra in order to learn groups. Up to know I am at sec 16, Group Action on a set and I'm starting to feel that I am losing the development of the arguments. I also found a little bit hard to grasp Factor groups, but now I think I have an idea how to manipulate them.

I intend to follow the quest of learning groups, and my question is for a reference(s). I have self-study it so far so a pedagogical source would be much appreciated.

I really want to tackle Sylow theory, but the group actions as it is in Fraleigh seemed scant to me.

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  • $\begingroup$ Are you actually wanting to know where to look after Fraleigh, or is Fraleigh too difficult and you want something to supplement Fraleigh? $\endgroup$ – Morgan Rodgers Feb 5 '18 at 6:29
  • $\begingroup$ After, actually. I did not like too much the Action on groups that he exposes. I understand that this is also fundamental to tackle Sylow theory, is this correct? $\endgroup$ – user2820579 Feb 6 '18 at 18:15
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Abstract Algebra by David Steven Dummit and Richard M. Foote is a popular one.

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Algebra by Michael Artin is a good one.

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