Description
Book SynopsisProvides a characterization of the 2-fusion systems of the groups of Lie type and odd characteristic, a result analogous to the Classical Involution Theorem for groups. The theorem is the most difficult step in a two-part program.
Table of Contents
- Background and overview: Introduction
- The major theorems and some background
- Basics and examples:
- Some basic results
- Results on $\tau$
- $W(\tau)$ and $M(\tau)$
- Some examples
- Theorems 2 through 5: Theorems 2 and 4
- Theorems 3 and 5
- Coconnectedness: $\tau^{\circ}$ not coconnected
- Theorem 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 $\mu$ abelian
- More generation
- $\vert\Omega(z)\vert=1$ and $\mu$ nonabelian
- Theorem 1 and the Main Theorem: Proofs of four theorems
- References and Index: Bibliography
- Index.
