**Contemporary Mathematics**

Volume: 186;
1995;
401 pp;
Softcover

MSC: Primary 12; 20; 11;

Print ISBN: 978-0-8218-0299-1

Product Code: CONM/186

List Price: $83.00

AMS Member Price: $66.40

MAA Member Price: $74.70

**Electronic ISBN: 978-0-8218-7777-7
Product Code: CONM/186.E**

List Price: $83.00

AMS Member Price: $66.40

MAA Member Price: $74.70

# Recent Developments in the Inverse Galois Problem

Share this page *Edited by *
*Shreeram S. Abhyankar; Walter Feit; Michael D. Fried; Yasutaka Ihara; Helmut Voelklein*

This book contains the refereed proceedings of the AMS-IMS-SIAM
Joint Summer Research Conference on Recent Developments in the Inverse
Galois Problem, held in July 1993 at the University of Washington,
Seattle. A new review of Serre's

#### Readership

Researchers in number theory and group theory and students seeking applications of pure mathematics as down-to-earth problems.

# Table of Contents

## Recent Developments in the Inverse Galois Problem

- Contents vii8 free
- Preface ix10 free
- Part A: Explicit Quotients of GQ and GF(t) 112 free
- Explicit Galois realization of C16-extensions of An and Sn 314
- Topics in Galois theory 1526
- Parametric solutions of embedding problems 3344
- Some projective linear groups over finite fields as Galois groups over Q 5162
- K-admissibility of metacyclic 2-groups 6576
- Embedding problems and the C16 → C8 obstruction 7586
- Cyclic covers of P1 and Galois action on their division points 91102

- Part B: Moduli Spaces and the Structure of GQ 109120
- Part C: The Structure of GR(t), GFq(t), and GQp(t) 215226
- Covers of P1 over the р-adics 217228
- Existence de points p-adiques pour tout p sur un espace de Hurwitz 239250
- Stable models 249260
- Tout groupe fini est un groupe de Galois sur Qp(T), d'apres Harbater 261272
- Specializations of coverings and their Galois groups 267278
- Rational points and canonical heights on K3-surfaces in P1 x P1 x P1 273284

- Part D: Group Theory and Geometric Monodromy Groups 291302
- Mathieu group coverings and linear group coverings 293304
- Fundamental groups for arbitrary categories 321332
- Monodromy groups of branched coverings: The generic case 325336
- Fundamental groups and embedding problems in characteristic p 353364
- On free profinite groups of uncountable rank 371382
- Primitive monodromy groups of polynomials 385396