1. The Burnside ring of a finite group

2. Recollections about compact Lie groups

3. Construction of the Burnside ring of a compact Lie group

4. Other definitions of Burnside rings

5. Maps between Burnside rings

6. Examples of Burnside rings of abelian groups

7. Examples of Burnside rings of nonabelian groups

10. An alternative additive basis for A(G)

12. The prime ideal spectrum of A(G)

13. Idempotent and unit elements in A(G)

15. Modules over A(G)