MATH 3031: Abstract Algebra I

Fall 2024, Dalhousie University

Time and location: Mondays, Wednesdays & Fridays 1:35 pm - 2:25 pm, Chase 319

Office hours: Mondays 11 - 12 am & Wednesdays 12 - 1 in Chase 314

Calendar

Wednesday Sep 4 Definition of a group
Friday Sep 6 subgroups
Monday Sep 9 cyclic and noncyclic groups
Wednesday Sep 11 subgroups of cyclic groups
Friday Sep 13 group homomorphism and isomorphisms
Monday Sep 16 finite cyclic groups
Wednesday Sep 18 generating sets for goups
Friday Sep 20 permutations
Monday Sep 23 permutations and the symmetric group
Wednesday Sep 25 the symmetric group
Friday Sep 27 the alternating group
Monday Sep 30 No class -- University closed
Wednesday Oct 2 cosets and partitions
Friday Oct 4 Lagrange's theorem and the index of a subgroup
Monday Oct 7 Dihedral Groups
Wednesday Oct 9 Direct products of groups
Friday Oct 11 Direct products of groups and the Fundamental Theorem of finitely generated abelian groups
Monday Oct 14 No class -- University closed
Wednesday Oct 16 Fundamental Theorem of finitely generated abelian groups
Friday Oct 18 normal subgroups
Monday Oct 21 cosets of normal subgroups and quotient groups
Wednesday Oct 23 Midterm
Friday Oct 25 quotient groups
Monday Oct 28 Review of midterm
Wednesday Oct 30 examples of normal subgroups, homomorphisms
Friday Nov 1 quotients of cyclic groups
Monday Nov 4 Center of a group and the commutator subgroup
Wednesday Nov 6 Fundamental Theorem problems
Friday Nov 8 Isomorphism theorems
Monday Nov 11 Study Break
Wednesday Nov 13 Study Break
Friday Nov 15 Study Break
Monday Nov 18 Group actions
Wednesday Nov 20 Cauchy's theorem
Friday Nov 22 The normalizer
Monday Nov 25 First Sylow Theorem
Wednesday Nov 27
Friday Nov 29
Monday Dec 2
Tuesday Dec 3
Wednesday Dec 4