Updated: 12/8/02, 11:30 am
What is new: Error in Lemma 5.20

Announcements

• Lemma 5.20 needs an extra assumption, namely p^e does not divide (m-1)! (See Rotman's errata for details.)
• Hints on last homework.
• The new URL will be: http://people.brandeis.edu/~igusa/Math30/Math30a.htm .
• errata for Rotman's Astract Algebra 2nd edition

Homework/quiz notes

• quiz 1 .
• quiz 2 .
• quiz 3 .
• quiz 4 with answers .
• homework 2 .
• homework 3 .
• homework 7 .

Lecture Notes

• 1.1. Induction .
• 1.2. Binomial coefficients .
• 1.3. Greatest common divisor .
• 1.4. Unique factorization .
• 1.5. Congruences .
• 2.1. Functions .
• 2.2. Permutations .
• 2.3. Groups .
• 2.4. Subgroups .
• 2.5. Homomorphisms .
• 2.6. Quotient groups .
• 2.7. Group actions .
• 2.8. Counting with groups .
• 5.1. Finite abelian groups .
• 5.2. Sylow subgroups .
• 5.3. Jordan Holder Theorem .