I am an undergraduate student and recently took an introductory course containing properties of groups, homomorphism, normal subgroups, group action, sylows theorem and a bit about simple groups. Does anybody think starting the book "Finite groups: An introduction" by jean pierre serre be a bad idea with this amount of knowledge ?
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1Rotman's book is really good. But, for the beginning, you should start with Dummit-Foote and Artin's algebra. – James Moriarty Feb 06 '21 at 06:42
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@ShubhrajitBhattacharya What is your view on "Finite groups: An introduction" by jean pierre serre book – Charlie charles Feb 06 '21 at 06:44
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1That is a special topic in group theory. That is not for beginning learning group theory. If you are enough comfortable with the complete introductory topics, then you can start J. P. Serre's book. – James Moriarty Feb 06 '21 at 06:46
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@ShubhrajitBhattacharya What do you think about the book "Groups and representations" by alperin-bell – Charlie charles Feb 06 '21 at 06:49
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I don't know about that. But you can also try the wonderful book Finite Group Theory by Michael Aschbacher. Also, there is a book on representations of finite groups by J. P. Serre. – James Moriarty Feb 06 '21 at 06:50
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I used Dummit-Foote and Artin's algebra. They were good. – open problem Feb 06 '21 at 06:55
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Why not try one of the following:
John S. Rose, A Course on Group Theory
Derek J.S. Robinson, A Course in The Theory of Groups
Dummit and Foote, Abstract Algebra.
Each of these books has a lot of good examples and exercises!
Nicky Hekster
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1Isaacs, Finite Group Theory is also a very nice book at this level, for a reader who is primarily interested in the finite case. – Feb 09 '21 at 04:20