University of Reddit Course: Introduction to Group Theory

Here are prerequisite videos on proofs, sets, and the integers (completed):

BM1. Propositional Logic

BM2. Logical Equivalence

BM3. Formal Proofs

BM4. Methods of Proof

BM4.1. Example of Complete Induction

BM5. Naive Set Theory

BM6. Set Operations

BM6.1. Two Tough Set Equalities

BM7. Binary Relations

BM8.1. Mappings: Examples

BM8.2. Mappings: Basic Properties

BM8.3. Mappings: Composition and Inverse Functions

BM9.1. Cardinality 1: Finite Sets

BM9.2. Cardinality 2: Ininite Sets

BM10: Basic Properties of the Integers

BM10.1. The Euclidean Algorithm for the Integers

Here is the file list for Intro to Group Theory (Spring 2012):

Feb. 8, 2012: Video - GT1. Definition of Group

Feb. 8, 2012: Video - GT1.1. Example of Group Inverse

Feb. 8, 2012: Problem Set 1 - GT1. Definition of Group

Feb. 15, 2012: Solution Set 1 - GT1. Definition of Group

Feb. 15, 2012: Video - GT2. Definition of Subgroup

Feb. 15, 2012: Problem Set 2 - GT2. Definition of Subgroup

Feb. 22, 2012: Solution Set 2 - GT2. Definition of Subgroup

Feb. 22, 2012: Video - GT3. Cosets and Lagrange's Theorem

Feb. 22, 2012: Problem Set 3 - GT3. Cosets and Lagrange's Theorem

Feb. 29, 2012: Solution Set 3 - GT3. Cosets and Lagrange's Theorem

Feb. 29, 2012: Video - GT4. Normal Subgroups and Quotient Groups

Feb. 29, 2012: Problem Set 4 - GT4. Normal Subgroups and Quotient Groups

Mar. 7, 2012: Solution Set 4 - GT4. Normal Subgroups and Quotient Groups

Mar. 7, 2012: Video - GT5. Index 2 Theorem and Dihedral Groups

Mar. 7, 2012: Video - GT6. Centralizers, Normalizers, and Direct Products

Mar. 7, 2012: Video - GT7. The Commutator Subgroup

Mar. 7, 2012: Problem Set 5 - GT5/6/7. Index 2 Theorem, etc.

Mar. 14, 2012: Solution Set 5 - GT5/6. Index 2 Theorem, etc.

Mar. 14, 2012: Video - GT8. Group Homomorphisms

Mar. 14, 2012: Video - GT9. Group Isomorphisms

Mar. 14, 2012: Problem Set 6 - GT8/9. Group Homomorphisms, etc.

Mar. 21, 2012: Solution Set 6 - GT8/9. Group Homomorphisms, etc.

Mar. 21, 2012: Video - GT10. Examples of Non-Isomorphic Groups

Mar. 21, 2012: Video - GT11. Group Automorphisms

Mar. 21, 2012: Problem Set 7 - GT10/11. Non-Isomorphic Groups, etc.

Mar. 28, 2012: Solution Set 7 - GT10/11. Non-Isomorphic Groups, etc.

Mar. 28, 2012: Video - GT11.1. Automorphisms of A4

Mar. 28, 2012: Video - GT12. Aut(Z/n) and Fermat's Little Theorem

Mar. 28, 2012: Video - GT12.1. Automorphisms of Dihedral Groups

Mar. 28, 2012: Problem Set 8 - GT11/12. More Automorphisms

Apr. 4, 2012: Solution Set 8 - GT11/12. More Automorphisms

Apr. 4, 2012: Video - GT13. Groups of Order 8

Apr. 4, 2012: Video - GT14. Semidirect Products

Apr. 4, 2012: Problem Set 9 - GT13/14. Groups of Order 8, etc.

Apr. 11, 2012: Solution Set 9 - GT13/14. Groups of Order 8, etc.

Apr. 11, 2012: Video - GT15. Group Actions

Apr. 11, 2012: Video - GT16. Cayley's Theorem

Apr. 11, 2012: Video - GT16.1. Examples of Cayley's Theorem

Apr. 11, 2012: Problem Set 10 - GT15/16. Group Actions/ Cayley's Theorem

Apr. 18, 2012: Solution Set 10 - GT15/16. Group Actions/ Cayley's Theorem

Apr. 18, 2012: Video - GT17. Symmetric and Alternating Groups

Apr. 18, 2012: Video - GT17.1. Permutation Matrices

Apr. 18, 2012: Video - GT18. Conjugacy and the Class Equation

Apr. 18, 2012: Video - GT18.1. The Class Equation for Dihedral Groups

Apr. 18, 2012: Video - GT18.2. An is Simple (n>5)

Apr. 18, 2012: Problem Set 11 - GT17/18. Symmetric Groups/ Conjugacy Classes

Apr. 25, 2012: Solution Set 11 - GT17/18. Symmetric Groups/ Conjugacy Classes

Apr. 25, 2012: Video - GT19. Cauchy's Theorem

Apr. 25, 2012: Video - GT20. Overview of Sylow Theory

Apr. 25, 2012: Video - GT20.1. Sylow Theorems - Proofs

Apr. 25, 2012: Video - GT20.2. Sylow Theory for Simple 60

Apr. 25, 2012: Problem Set 12 - GT19/20. Cauchy's Theorem/ Sylow Theory

May. 2, 2012: Solution Set 12 - GT19/20. Cauchy's Theorem/ Sylow Theory

May. 2, 2012: Video - GT21. Internal Products

May. 2, 2012: Video - GT22. The Fundamental Theorem of Finite Abelian Groups

May. 2, 2012: Problem Set 13 - GT21/22. Internal Products/ FTFAG

May. 10, 2012: Solution Set 13 - GT21/22. Internal Products/ FTFAG

May. 10, 2012: Video - GT23. Composition and Classification