MATH 4550 - Modern Algebra I

Class information:

Notes:

  • Notes on the dihedral group can be found here.
  • Lemma about the identity element and inverses in subgroups.
  • Lemma about what cyclic subgroups look like.
  • The division algorithm statement and proof
  • Classification of homomorphisms from cyclic groups: lemma and main theorem.
  • A proof that the set of permutations of a set is a group under composition.

Homework:

Student notes from F16 (Thanks Cynthia!):

week 1, week 2, week 3, week 4, week 5,
week 6, week 7, week 8, week 9, week 10,
week 11, week 12, week 13, week 14, week 15

Test solutions:

  • Fall 2017: Test 1 solutions are here.
  • Fall 2016: Test 1 solutions are here.
  • Fall 2016: Test 2 solutions are here.