Chapter 1, up to page 5.

Chapter 1, up to page 9.

Chapter 1.

Modules, composition factors of modules,
homogeneous components.

Double centralizer theorem.
Its corollary.

Representations, similarity, and characters

Labor Day, no class

Regular modules and characters

Orthogonality relations

Orthogonality relations

Orthogonality relations.

Orthogonality relations

Characters and integrality

Burnside’s Theorem on zeros of characters

Products of characters

Students present homework

Frobenius-Schur Theorem

Frobenius-Schur Theorem

Frobenius-Schur Theorem

Frobenius-Schur Theorem

Homecoming, no class

Frobenius-Schur Theorem

Brauer-Fowler Theorem

Invariant inner products

Taketa’s Theorem

Cauchy-Frobenius Lemma

Mackey’s Theorem

Artin’s Theorem

Artin’s Theorem

Clifford’s Theorem

Clifford’s Theorem

Normal subgroups

Normal subgroups

Joseph Brennan:
Character degree sets

Normal subgroups

Veterans Day

Frobenius groups

Frobenius’s Theorem

Rings of characters and some ideals

Brauer’s Theorem

No class

No class

Brauer’s Theorem

Brauer’s Theorem

Brauer-Suzuki Theorem

Brauer-Suzuki Theorem, cont.

Student presentation