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I have read sylow theorem from Contemporary abstract algebra by Joseph A Gallian. At first I could not understand the theorems, although after searching internet and getting some good pdfs I understood these theorems properly using group action. Although that did not completely cleared my concept. As after trying to solve number of nonisomorphic groups of given order I found out that I really could not solve it properly most of them. I once again searched internet but could not find any group articles that would clear up my concept. So it would be great if you can suggest me any books, article or anything that would clear up the doubts I have. Any help would be appreciated. Thanks.

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  • $\begingroup$ It would be better if you are more specific about your conceptual doubts so that we can tell which book might help you. $\endgroup$ – Frank Moses Apr 27 '18 at 8:56
  • $\begingroup$ Number of non isomorphic groups of any given order. This is the main problem I have $\endgroup$ – user426700 Apr 27 '18 at 8:57
  • $\begingroup$ This search yields a bunch of good hits to answer your question, and I don't really understand why we need another "basic group theory book" post. Maybe if you gave it a non-useless title the question would be better. Like "which textbooks cover the problem of finding nonisomorphic groups of the same order?" $\endgroup$ – rschwieb Apr 27 '18 at 20:30
  • $\begingroup$ Thank you for the edit. But I think one should not judge the post based on the title $\endgroup$ – user426700 Apr 28 '18 at 5:03
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Beachy-Blair: Abstract Algebra is a really good book in introductory abstract. algebgra

Robert B Ash: Basic Abstract algebra is also really good book.

I would suggest these two.

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  • $\begingroup$ Does it deal with the problem I have $\endgroup$ – user426700 Apr 27 '18 at 8:58
  • $\begingroup$ Most definitely $\endgroup$ – Vinyl_cape_jawa Apr 27 '18 at 8:58
  • $\begingroup$ Ok I will. Thanks $\endgroup$ – user426700 Apr 27 '18 at 8:59
  • $\begingroup$ It looks really advanced and include many extra topics. Can u tell me a book more basic and has more elaborate section on group action and finding non isomorphic groups of a given order. Thanks $\endgroup$ – user426700 Apr 28 '18 at 5:06
  • $\begingroup$ John S Rose: A course on group theory. What you seek is not elementary which means you will need to read through some advanced texts. $\endgroup$ – Vinyl_cape_jawa Apr 28 '18 at 11:45

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