The best edition of Fraleigh's Abstract Algebra?

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SUMMARY

The discussion centers on the best edition of "A First Course in Abstract Algebra" by Fraleigh, highlighting key differences between the 3rd, 4th, 6th, and 7th editions. The 6th edition lacks a section on homology groups, while the 7th edition includes it. The 4th edition also covers homology groups, and the 3rd edition is noted for its treatment of group actions. Overall, the differences between the 6th and 7th editions are minimal, and older editions (3rd, 4th, and 5th) are recommended for cost-effectiveness, while the 1st and 2nd editions are not advisable.

PREREQUISITES
  • Familiarity with abstract algebra concepts
  • Understanding of group actions
  • Basic knowledge of homology groups
  • Experience with algebraic topology
NEXT STEPS
  • Research the differences between the 6th and 7th editions of Fraleigh's textbook
  • Explore the treatment of homology groups in the 4th edition
  • Investigate the concept of group actions in abstract algebra
  • Review algebraic topology resources for foundational knowledge
USEFUL FOR

Students of abstract algebra, educators seeking textbook recommendations, and anyone interested in the comparative analysis of mathematical literature.

Truecrimson
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I'm going to buy A First Course in Abstract Algebra by Fraleigh. I've looked at 6th and 7th ed. 6th doesn't have a section on homology groups, but 7th does. From what I found from other threads here, 4th also has homology groups, and 3rd is at least good on group actions. (I haven't got to group actions yet.)

It is well known for some textbooks that the older editions are better. What about Fraleigh?
 
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Homology is usually covered in the first algebraic topology course, not in undergrad algebra, so I would not worry if a book covers homology or not.

I doubt there are great difference between the 6th and 7th editions, you could even get the 3rd or 4th or 5th (but not 2nd or 1st), whichever you find the cheapest.
 
Thank you.
 

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