Good introductory textbook for group theory [duplicate]












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  • Introductory Group theory textbook [closed]

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I am beginning to learn group theory (specifically finite groups) and I’m wondering which textbooks can help me.



So any suggestions for introductory texts?










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marked as duplicate by jgon, Community Jan 7 at 4:07


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    Rotman's is pretty good.
    $endgroup$
    – MathematicsStudent1122
    Jan 7 at 1:54










  • $begingroup$
    While I wrote an answer, this will probably be closed as either a duplicate or primarily opinion based, in fact I should probably vote to close myself: math.stackexchange.com/q/25506/90543
    $endgroup$
    – jgon
    Jan 7 at 2:14
















0












$begingroup$



This question already has an answer here:




  • Introductory Group theory textbook [closed]

    14 answers




I am beginning to learn group theory (specifically finite groups) and I’m wondering which textbooks can help me.



So any suggestions for introductory texts?










share|cite|improve this question









$endgroup$



marked as duplicate by jgon, Community Jan 7 at 4:07


This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.














  • 1




    $begingroup$
    Rotman's is pretty good.
    $endgroup$
    – MathematicsStudent1122
    Jan 7 at 1:54










  • $begingroup$
    While I wrote an answer, this will probably be closed as either a duplicate or primarily opinion based, in fact I should probably vote to close myself: math.stackexchange.com/q/25506/90543
    $endgroup$
    – jgon
    Jan 7 at 2:14














0












0








0





$begingroup$



This question already has an answer here:




  • Introductory Group theory textbook [closed]

    14 answers




I am beginning to learn group theory (specifically finite groups) and I’m wondering which textbooks can help me.



So any suggestions for introductory texts?










share|cite|improve this question









$endgroup$





This question already has an answer here:




  • Introductory Group theory textbook [closed]

    14 answers




I am beginning to learn group theory (specifically finite groups) and I’m wondering which textbooks can help me.



So any suggestions for introductory texts?





This question already has an answer here:




  • Introductory Group theory textbook [closed]

    14 answers








group-theory reference-request finite-groups






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share|cite|improve this question










asked Jan 7 at 1:53









user632331user632331

92




92




marked as duplicate by jgon, Community Jan 7 at 4:07


This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.









marked as duplicate by jgon, Community Jan 7 at 4:07


This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.










  • 1




    $begingroup$
    Rotman's is pretty good.
    $endgroup$
    – MathematicsStudent1122
    Jan 7 at 1:54










  • $begingroup$
    While I wrote an answer, this will probably be closed as either a duplicate or primarily opinion based, in fact I should probably vote to close myself: math.stackexchange.com/q/25506/90543
    $endgroup$
    – jgon
    Jan 7 at 2:14














  • 1




    $begingroup$
    Rotman's is pretty good.
    $endgroup$
    – MathematicsStudent1122
    Jan 7 at 1:54










  • $begingroup$
    While I wrote an answer, this will probably be closed as either a duplicate or primarily opinion based, in fact I should probably vote to close myself: math.stackexchange.com/q/25506/90543
    $endgroup$
    – jgon
    Jan 7 at 2:14








1




1




$begingroup$
Rotman's is pretty good.
$endgroup$
– MathematicsStudent1122
Jan 7 at 1:54




$begingroup$
Rotman's is pretty good.
$endgroup$
– MathematicsStudent1122
Jan 7 at 1:54












$begingroup$
While I wrote an answer, this will probably be closed as either a duplicate or primarily opinion based, in fact I should probably vote to close myself: math.stackexchange.com/q/25506/90543
$endgroup$
– jgon
Jan 7 at 2:14




$begingroup$
While I wrote an answer, this will probably be closed as either a duplicate or primarily opinion based, in fact I should probably vote to close myself: math.stackexchange.com/q/25506/90543
$endgroup$
– jgon
Jan 7 at 2:14










2 Answers
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There are quite a few (very) good textbooks on finite groups out there. My favourite is Isaacs' "Finite Group Theory", but I wouldn't recommend it as a first textbook. Robinson's "A Course in the Theory of Groups" and Rose's "A Course on Group Theory" are both excellent.



In my opinion, though, the best book to read as a first when it comes to group theory is Smith's and Tabachnikova's "Topics in Group Theory".






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    My introduction to groups (and algebra in general) was I.N. Herstein's Topics in Algebra. It begins with the theory of groups (covering what I would regard as the essential basics), but also covers rings, fields, vector spaces, and linear transformations. It's short, well written, and has a lot of good exercises.



    I also really like Michael Artin's Algebra, which again is an introductory algebra textbook, but it includes quite a lot of good material on groups. I would say it's a bit more comprehensive than Herstein, and also very well written of course.



    Lastly, I've gotten a lot of mileage out of Milne's course notes, which between them cover almost all of the algebra I've ever needed to know. It's been a while since I've read his group theory notes, but they're free on his website, so it's worth checking out.






    share|cite|improve this answer









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      2 Answers
      2






      active

      oldest

      votes








      2 Answers
      2






      active

      oldest

      votes









      active

      oldest

      votes






      active

      oldest

      votes









      2












      $begingroup$

      There are quite a few (very) good textbooks on finite groups out there. My favourite is Isaacs' "Finite Group Theory", but I wouldn't recommend it as a first textbook. Robinson's "A Course in the Theory of Groups" and Rose's "A Course on Group Theory" are both excellent.



      In my opinion, though, the best book to read as a first when it comes to group theory is Smith's and Tabachnikova's "Topics in Group Theory".






      share|cite|improve this answer









      $endgroup$


















        2












        $begingroup$

        There are quite a few (very) good textbooks on finite groups out there. My favourite is Isaacs' "Finite Group Theory", but I wouldn't recommend it as a first textbook. Robinson's "A Course in the Theory of Groups" and Rose's "A Course on Group Theory" are both excellent.



        In my opinion, though, the best book to read as a first when it comes to group theory is Smith's and Tabachnikova's "Topics in Group Theory".






        share|cite|improve this answer









        $endgroup$
















          2












          2








          2





          $begingroup$

          There are quite a few (very) good textbooks on finite groups out there. My favourite is Isaacs' "Finite Group Theory", but I wouldn't recommend it as a first textbook. Robinson's "A Course in the Theory of Groups" and Rose's "A Course on Group Theory" are both excellent.



          In my opinion, though, the best book to read as a first when it comes to group theory is Smith's and Tabachnikova's "Topics in Group Theory".






          share|cite|improve this answer









          $endgroup$



          There are quite a few (very) good textbooks on finite groups out there. My favourite is Isaacs' "Finite Group Theory", but I wouldn't recommend it as a first textbook. Robinson's "A Course in the Theory of Groups" and Rose's "A Course on Group Theory" are both excellent.



          In my opinion, though, the best book to read as a first when it comes to group theory is Smith's and Tabachnikova's "Topics in Group Theory".







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Jan 7 at 2:01









          the_foxthe_fox

          2,90231538




          2,90231538























              4












              $begingroup$

              My introduction to groups (and algebra in general) was I.N. Herstein's Topics in Algebra. It begins with the theory of groups (covering what I would regard as the essential basics), but also covers rings, fields, vector spaces, and linear transformations. It's short, well written, and has a lot of good exercises.



              I also really like Michael Artin's Algebra, which again is an introductory algebra textbook, but it includes quite a lot of good material on groups. I would say it's a bit more comprehensive than Herstein, and also very well written of course.



              Lastly, I've gotten a lot of mileage out of Milne's course notes, which between them cover almost all of the algebra I've ever needed to know. It's been a while since I've read his group theory notes, but they're free on his website, so it's worth checking out.






              share|cite|improve this answer









              $endgroup$


















                4












                $begingroup$

                My introduction to groups (and algebra in general) was I.N. Herstein's Topics in Algebra. It begins with the theory of groups (covering what I would regard as the essential basics), but also covers rings, fields, vector spaces, and linear transformations. It's short, well written, and has a lot of good exercises.



                I also really like Michael Artin's Algebra, which again is an introductory algebra textbook, but it includes quite a lot of good material on groups. I would say it's a bit more comprehensive than Herstein, and also very well written of course.



                Lastly, I've gotten a lot of mileage out of Milne's course notes, which between them cover almost all of the algebra I've ever needed to know. It's been a while since I've read his group theory notes, but they're free on his website, so it's worth checking out.






                share|cite|improve this answer









                $endgroup$
















                  4












                  4








                  4





                  $begingroup$

                  My introduction to groups (and algebra in general) was I.N. Herstein's Topics in Algebra. It begins with the theory of groups (covering what I would regard as the essential basics), but also covers rings, fields, vector spaces, and linear transformations. It's short, well written, and has a lot of good exercises.



                  I also really like Michael Artin's Algebra, which again is an introductory algebra textbook, but it includes quite a lot of good material on groups. I would say it's a bit more comprehensive than Herstein, and also very well written of course.



                  Lastly, I've gotten a lot of mileage out of Milne's course notes, which between them cover almost all of the algebra I've ever needed to know. It's been a while since I've read his group theory notes, but they're free on his website, so it's worth checking out.






                  share|cite|improve this answer









                  $endgroup$



                  My introduction to groups (and algebra in general) was I.N. Herstein's Topics in Algebra. It begins with the theory of groups (covering what I would regard as the essential basics), but also covers rings, fields, vector spaces, and linear transformations. It's short, well written, and has a lot of good exercises.



                  I also really like Michael Artin's Algebra, which again is an introductory algebra textbook, but it includes quite a lot of good material on groups. I would say it's a bit more comprehensive than Herstein, and also very well written of course.



                  Lastly, I've gotten a lot of mileage out of Milne's course notes, which between them cover almost all of the algebra I've ever needed to know. It's been a while since I've read his group theory notes, but they're free on his website, so it's worth checking out.







                  share|cite|improve this answer












                  share|cite|improve this answer



                  share|cite|improve this answer










                  answered Jan 7 at 2:10









                  jgonjgon

                  16.5k32143




                  16.5k32143















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