General group theory book with exercise solutions
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I'm looking for a book on group theory with approximately the same level and scope of "An Introduction to the Theory of Groups" by Joseph J. Rotman for which complete or partial exercise solutions exist (be it in the form of an official solutions manual or floating around on the internet). I need this for self study, Rotman is very readable and most exercises seem to be doable but see little point in attempting the more difficult ones if there is no way for me to double check my solutions (except maybe posting here).
Is there such a book?
reference-request book-recommendation
asked Dec 30 '18 at 15:27
PeterPeter
1444
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add a comment |
$begingroup$
I'm looking for a book on group theory with approximately the same level and scope of "An Introduction to the Theory of Groups" by Joseph J. Rotman for which complete or partial exercise solutions exist (be it in the form of an official solutions manual or floating around on the internet). I need this for self study, Rotman is very readable and most exercises seem to be doable but see little point in attempting the more difficult ones if there is no way for me to double check my solutions (except maybe posting here).
Is there such a book?
reference-request book-recommendation
asked Dec 30 '18 at 15:27
PeterPeter
1444
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$begingroup$
Had a look at Schaum's Outlines?
$endgroup$
– Gerry Myerson
Dec 30 '18 at 15:43
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That actually doesn't look too bad. I have never read one of the books in that series and had always assumed those were all less rigorous than other textbooks. Could I replace Rotman by that one completely or would it be advisable to read both? (I mainly need a good understanding of group theory fundamentals in order to go on and read texts on computational group theory).
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– Peter
Dec 30 '18 at 15:59
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Sorry, I don't have either book in front of me, so I can't really compare them.
$endgroup$
– Gerry Myerson
Dec 30 '18 at 17:33
add a comment |
$begingroup$
I'm looking for a book on group theory with approximately the same level and scope of "An Introduction to the Theory of Groups" by Joseph J. Rotman for which complete or partial exercise solutions exist (be it in the form of an official solutions manual or floating around on the internet). I need this for self study, Rotman is very readable and most exercises seem to be doable but see little point in attempting the more difficult ones if there is no way for me to double check my solutions (except maybe posting here).
Is there such a book?
reference-request book-recommendation
asked Dec 30 '18 at 15:27
PeterPeter
1444
$endgroup$
I'm looking for a book on group theory with approximately the same level and scope of "An Introduction to the Theory of Groups" by Joseph J. Rotman for which complete or partial exercise solutions exist (be it in the form of an official solutions manual or floating around on the internet). I need this for self study, Rotman is very readable and most exercises seem to be doable but see little point in attempting the more difficult ones if there is no way for me to double check my solutions (except maybe posting here).
Is there such a book?
reference-request book-recommendation
reference-request book-recommendation
asked Dec 30 '18 at 15:27
PeterPeter
1444
asked Dec 30 '18 at 15:27
PeterPeter
1444
asked Dec 30 '18 at 15:27
PeterPeter
1444
asked Dec 30 '18 at 15:27
PeterPeter
1444
asked Dec 30 '18 at 15:27
PeterPeter
1444
1444
$begingroup$
Had a look at Schaum's Outlines?
$endgroup$
– Gerry Myerson
Dec 30 '18 at 15:43
$begingroup$
That actually doesn't look too bad. I have never read one of the books in that series and had always assumed those were all less rigorous than other textbooks. Could I replace Rotman by that one completely or would it be advisable to read both? (I mainly need a good understanding of group theory fundamentals in order to go on and read texts on computational group theory).
$endgroup$
– Peter
Dec 30 '18 at 15:59
$begingroup$
Sorry, I don't have either book in front of me, so I can't really compare them.
$endgroup$
– Gerry Myerson
Dec 30 '18 at 17:33
add a comment |
$begingroup$
Had a look at Schaum's Outlines?
$endgroup$
– Gerry Myerson
Dec 30 '18 at 15:43
$begingroup$
That actually doesn't look too bad. I have never read one of the books in that series and had always assumed those were all less rigorous than other textbooks. Could I replace Rotman by that one completely or would it be advisable to read both? (I mainly need a good understanding of group theory fundamentals in order to go on and read texts on computational group theory).
$endgroup$
– Peter
Dec 30 '18 at 15:59
$begingroup$
Sorry, I don't have either book in front of me, so I can't really compare them.
$endgroup$
– Gerry Myerson
Dec 30 '18 at 17:33
$begingroup$
Had a look at Schaum's Outlines?
$endgroup$
– Gerry Myerson
Dec 30 '18 at 15:43
$begingroup$
Had a look at Schaum's Outlines?
$endgroup$
– Gerry Myerson
Dec 30 '18 at 15:43
$begingroup$
That actually doesn't look too bad. I have never read one of the books in that series and had always assumed those were all less rigorous than other textbooks. Could I replace Rotman by that one completely or would it be advisable to read both? (I mainly need a good understanding of group theory fundamentals in order to go on and read texts on computational group theory).
$endgroup$
– Peter
Dec 30 '18 at 15:59
$begingroup$
That actually doesn't look too bad. I have never read one of the books in that series and had always assumed those were all less rigorous than other textbooks. Could I replace Rotman by that one completely or would it be advisable to read both? (I mainly need a good understanding of group theory fundamentals in order to go on and read texts on computational group theory).
$endgroup$
– Peter
Dec 30 '18 at 15:59
$begingroup$
Sorry, I don't have either book in front of me, so I can't really compare them.
$endgroup$
– Gerry Myerson
Dec 30 '18 at 17:33
$begingroup$
Sorry, I don't have either book in front of me, so I can't really compare them.
$endgroup$
– Gerry Myerson
Dec 30 '18 at 17:33
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
Instead of looking for another textbook, maybe just look for a problem book like John Dixon's Problems in Group Theory. Looking at the contents page of Rotman, it seems that there is some overlap in topics (normal series, Sylow theorems) and solutions are at the end.
answered Dec 31 '18 at 4:28
twnlytwnly
1,004213
$endgroup$
$begingroup$
That's a good suggestion, the problems also seem challenging so I think I'll try to get a copy of this one.
$endgroup$
– Peter
Jan 3 at 11:22
add a comment |
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1 Answer
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oldest
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1 Answer
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$begingroup$
Instead of looking for another textbook, maybe just look for a problem book like John Dixon's Problems in Group Theory. Looking at the contents page of Rotman, it seems that there is some overlap in topics (normal series, Sylow theorems) and solutions are at the end.
answered Dec 31 '18 at 4:28
twnlytwnly
1,004213
$endgroup$
$begingroup$
That's a good suggestion, the problems also seem challenging so I think I'll try to get a copy of this one.
$endgroup$
– Peter
Jan 3 at 11:22
add a comment |
$begingroup$
Instead of looking for another textbook, maybe just look for a problem book like John Dixon's Problems in Group Theory. Looking at the contents page of Rotman, it seems that there is some overlap in topics (normal series, Sylow theorems) and solutions are at the end.
answered Dec 31 '18 at 4:28
twnlytwnly
1,004213
$endgroup$
$begingroup$
That's a good suggestion, the problems also seem challenging so I think I'll try to get a copy of this one.
$endgroup$
– Peter
Jan 3 at 11:22
add a comment |
$begingroup$
Instead of looking for another textbook, maybe just look for a problem book like John Dixon's Problems in Group Theory. Looking at the contents page of Rotman, it seems that there is some overlap in topics (normal series, Sylow theorems) and solutions are at the end.
answered Dec 31 '18 at 4:28
twnlytwnly
1,004213
$endgroup$
Instead of looking for another textbook, maybe just look for a problem book like John Dixon's Problems in Group Theory. Looking at the contents page of Rotman, it seems that there is some overlap in topics (normal series, Sylow theorems) and solutions are at the end.
answered Dec 31 '18 at 4:28
twnlytwnly
1,004213
answered Dec 31 '18 at 4:28
twnlytwnly
1,004213
answered Dec 31 '18 at 4:28
twnlytwnly
1,004213
answered Dec 31 '18 at 4:28
twnlytwnly
1,004213
1,004213
$begingroup$
That's a good suggestion, the problems also seem challenging so I think I'll try to get a copy of this one.
$endgroup$
– Peter
Jan 3 at 11:22
add a comment |
$begingroup$
That's a good suggestion, the problems also seem challenging so I think I'll try to get a copy of this one.
$endgroup$
– Peter
Jan 3 at 11:22
$begingroup$
That's a good suggestion, the problems also seem challenging so I think I'll try to get a copy of this one.
$endgroup$
– Peter
Jan 3 at 11:22
$begingroup$
That's a good suggestion, the problems also seem challenging so I think I'll try to get a copy of this one.
$endgroup$
– Peter
Jan 3 at 11:22
add a comment |
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$begingroup$
Had a look at Schaum's Outlines?
$endgroup$
– Gerry Myerson
Dec 30 '18 at 15:43
$begingroup$
That actually doesn't look too bad. I have never read one of the books in that series and had always assumed those were all less rigorous than other textbooks. Could I replace Rotman by that one completely or would it be advisable to read both? (I mainly need a good understanding of group theory fundamentals in order to go on and read texts on computational group theory).
$endgroup$
– Peter
Dec 30 '18 at 15:59
$begingroup$
Sorry, I don't have either book in front of me, so I can't really compare them.
$endgroup$
– Gerry Myerson
Dec 30 '18 at 17:33