Michael Aschbacher, California Institute of Technology, Pasadena, CA

• Background and overview: IntroductionThe major theorems and some backgroundBasics and examples: Some basic results Results on $\tau$$W(\tau)$ and $M(\tau)$Some examplesTheorems 2 through 5: Theorems 2 and 4 Theorems 3 and 5Coconnectedness: $\tau^{\circ}$ not coconnectedTheorem 6: $\Omega =\Omega(z)$ of order 2$\vert\Omega(z)\vert>2$Some results on generation$\vert\Omega(z)\vert=2$ and the proof of Theorem 6 Theorems 7 and 8: $\vert\Omega(z)\vert=1$ and $\mu$ abelianMore generation$\vert\Omega(z)\vert=1$ and $\mu$ nonabelianTheorem 1 and the Main Theorem: Proofs of four theoremsReferences and Index: BibliographyIndex.

Michael Aschbacher, California Institute of Technology, Pasadena, CA

• Background and overview: IntroductionThe major theorems and some backgroundBasics and examples: Some basic results Results on $\tau$$W(\tau)$ and $M(\tau)$Some examplesTheorems 2 through 5: Theorems 2 and 4 Theorems 3 and 5Coconnectedness: $\tau^{\circ}$ not coconnectedTheorem 6: $\Omega =\Omega(z)$ of order 2$\vert\Omega(z)\vert>2$Some results on generation$\vert\Omega(z)\vert=2$ and the proof of Theorem 6 Theorems 7 and 8: $\vert\Omega(z)\vert=1$ and $\mu$ abelianMore generation$\vert\Omega(z)\vert=1$ and $\mu$ nonabelianTheorem 1 and the Main Theorem: Proofs of four theoremsReferences and Index: BibliographyIndex.