Representation Theory of Finite Group Extensions : Clifford Theory, Mackey Obstruction, and the Orbit Method

- 1. Preliminaries. - 2. Clifford Theory. - 3. Abelian Extensions. - 4. The Little Group Method for Abelian Extensions. - 5. Examples and Applications. - 6. Central Extensions and the Orbit Method. - 7. Representations of Finite Group Extensions via Projective Representations. - 8. Induced Projective Representations. - 9. Clifford Theory for Projective Representations. - 10 Projective Representations of Finite Abelian Groups with Applications.