Nonsolvable finite groups all of whose local subgroups are solvable

Notation and definitions 384 3. Statement of main theorem and corollaries 388 4. Proofs of corollaries 389 5. Preliminary lemmas 389 5. 1. Inequalities and modules 389 5. 2. 7r-reducibility and fl, () 395 5. 3. Groups of symplectic type 397 5. 4. ^-groups, ^-solvability and F ( (&) 400 5. 5. Groups of low order 404 5. 6. 2-groups, involutions and 2-length 409 5. 7. Factorizations 423 5. 8. Miscellaneous 426 6. A transitivity theorem 428 i 9 68]