Representations of Solvable Groups Book

	Preface
	Acknowledgments
Chap. 0	Preliminaries	1
Chap. I	Solvable subgroups of linear groups
1	Quasi-primitive linear groups	27
2	Semi-linear and small linear groups	37
3	Bounds for the order and the derived length of linear groups	55
Chap. II	Solvable permutation groups
4	Orbit sizes of p-groups and the existence of regular orbits	73
5	Solvable permutation groups and the existence of regular orbits on the power set	84
6	Solvable doubly transitive permutation groups	94
7	Regular orbits of Sylow subgroups of solvable linear groups	102
8	Short orbits of linear groups of odd order	110
Chap. III	Module actions with large centralizers
9	Sylow centralizers - the imprimitive case	117
10	Sylow centralizers - the primitive case	126
11	Arithmetically large orbits	145
Chap. IV	Prime power divisors of character degrees
12	Characters of p'-degree and Brauer's height-zero conjecture	157
13	Brauer characters of q'-degree and Ito's theorem	176
14	The p-part of character degrees	186
15	McKay's conjecture	196
Chap. V	Complexity of character degrees
16	Derived length and the number of character degrees	210
17	Huppert's [rho]-[sigma]-conjecture	220
18	The character degree graph	227
19	Coprime group actions and character degrees	245
20	Brauer characters - the modular degree graph	259
Chap. VI	[pi]-special characters
21	Factorization and restriction of [pi]-special characters	265
22	Some applications - character values and Feit's conjecture	272
23	Lifting Brauer characters and conjectures of Alperin and McKay	276
	References	293
	Index	299