Physical description 
xi, 302 pages ; 23 cm. 
Series 
London Mathematical Society lecture note series ; 185. 

London Mathematical Society lecture note series ; 185.

Bibliography 
Includes bibliographical references (pages 293298) and index. 
Contents 
Chap. 0. Preliminaries  Chap. I. Solvable subgroups of linear groups. 1. Quasiprimitive linear groups. 2. Semilinear and small linear groups. 3. Bounds for the order and the derived length of linear groups  Chap. II. Solvable permutation groups. 4. Orbit sizes of pgroups and the existence of regular orbits. 5. Solvable permutation groups and the existence of regular orbits on the power set. 6. Solvable doubly transitive permutation groups. 7. Regular orbits of Sylow subgroups of solvable linear groups. 8. Short orbits of linear groups of odd order  Chap. III. Module actions with large centralizers. 9. Sylow centralizers  the imprimitive case. 10. Sylow centralizers  the primitive case. 11. Arithmetically large orbits  Chap. IV. Prime power divisors of character degrees. 12. Characters of p'degree and Brauer's heightzero conjecture. 13. Brauer characters of q'degree and Ito's theorem. 14. The ppart of character degrees. 15. McKay's conjecture. 

Chap. V. Complexity of character degrees. 16. Derived length and the number of character degrees. 17. Huppert's [rho][sigma]conjecture. 18. The character degree graph. 19. Coprime group actions and character degrees. 20. Brauer characters  the modular degree graph  Chap. VI. [pi]special characters. 21. Factorization and restriction of [pi]special characters. 22. Some applications  character values and Feit's conjecture. 23. Lifting Brauer characters and conjectures of Alperin and McKay. 
Other author 
Wolf, Thomas R.

Subject 
Solvable groups.


Representations of groups.


Permutation groups.

ISBN 
0521397391 
