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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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  • $\begingroup$ 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, 2018 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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I am also reading Fraleigh now. It is good for you to use Fraleigh to obtain rings and fields. I followed the advice of the following link:

https://bfhaha.blogspot.com/p/abstract-algebra-first-course.html

It is a Taiwan chinese version, I hope it can be translate by google in your browser.

It says that Nicholson's is good for group theory, and Fraleigh's is as mentioned above. Dummit's for module...blablalba...

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  • $\begingroup$ In a word, ideas that comes from his advice are: (1) Theory: Groups: Nicholson; Rings and Fields: Fraleigh; Galois Theory: Hungerford's Introduction; Module: Dummit & Foote; (2) Applications: Wallpaers: Gallian; Rubik's: Joyner; Coloring: Nicholson; Music: Budden. $\endgroup$
    – lavande lau
    May 4 at 17:35

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