Good introductory textbook for group theory [duplicate]
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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?
group-theory reference-request finite-groups
asked Jan 7 at 1:53
user632331user632331
92
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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.
add a comment |
$begingroup$
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?
group-theory reference-request finite-groups
asked Jan 7 at 1:53
user632331user632331
92
$endgroup$
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
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Rotman's is pretty good.
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– MathematicsStudent1122
Jan 7 at 1:54
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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
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– jgon
Jan 7 at 2:14
add a comment |
$begingroup$
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?
group-theory reference-request finite-groups
asked Jan 7 at 1:53
user632331user632331
92
$endgroup$
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
group-theory reference-request finite-groups
asked Jan 7 at 1:53
user632331user632331
92
asked Jan 7 at 1:53
user632331user632331
92
asked Jan 7 at 1:53
user632331user632331
92
asked Jan 7 at 1:53
user632331user632331
92
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
add a comment |
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
add a comment |
2 Answers
2
active
oldest
votes
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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".
answered Jan 7 at 2:01
the_foxthe_fox
2,90031538
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add a comment |
$begingroup$
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.
answered Jan 7 at 2:10
jgonjgon
15.7k32143
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add a comment |
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
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".
answered Jan 7 at 2:01
the_foxthe_fox
2,90031538
$endgroup$
add a comment |
$begingroup$
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".
answered Jan 7 at 2:01
the_foxthe_fox
2,90031538
$endgroup$
add a comment |
$begingroup$
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".
answered Jan 7 at 2:01
the_foxthe_fox
2,90031538
$endgroup$
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".
answered Jan 7 at 2:01
the_foxthe_fox
2,90031538
answered Jan 7 at 2:01
the_foxthe_fox
2,90031538
answered Jan 7 at 2:01
the_foxthe_fox
2,90031538
answered Jan 7 at 2:01
the_foxthe_fox
2,90031538
2,90031538
add a comment |
add a comment |
$begingroup$
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.
answered Jan 7 at 2:10
jgonjgon
15.7k32143
$endgroup$
add a comment |
$begingroup$
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.
answered Jan 7 at 2:10
jgonjgon
15.7k32143
$endgroup$
add a comment |
$begingroup$
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.
answered Jan 7 at 2:10
jgonjgon
15.7k32143
$endgroup$
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.
answered Jan 7 at 2:10
jgonjgon
15.7k32143
answered Jan 7 at 2:10
jgonjgon
15.7k32143
answered Jan 7 at 2:10
jgonjgon
15.7k32143
answered Jan 7 at 2:10
jgonjgon
15.7k32143
15.7k32143
add a comment |
add a comment |
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