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Taming Wild Extensions: Hopf Algebras and Local Galois Module Theory
About this Title
Lindsay N. Childs, State University of New York at Albany, Albany, NY
Publication: Mathematical Surveys and Monographs
Publication Year:
2000; Volume 80
ISBNs: 978-0-8218-2131-2 (print); 978-1-4704-1307-1 (online)
DOI: https://doi.org/10.1090/surv/080
MathSciNet review: MR1767499
MSC: Primary 11S23; Secondary 11S15, 11S20, 12F10, 14L05, 16W30
Table of Contents
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Front/Back Matter
Chapters
- 0. Introduction
- 1. Hopf algebras and Galois extensions
- 2. Hopf Galois structures on separable field extensions
- 3. Tame extensions and Noether’s Theorem
- 4. Hopf algebras of rank $p$
- 5. Larson orders
- 6. Cyclic extensions of degree $p$
- 7. Non-maximal orders
- 8. Ramification restrictions
- 9. Hopf algebras of rank $p^2$
- 10. Cyclic Hopf Galois extensions of degree $p^2$
- 11. Formal groups
- 12. Principal homogeneous spaces and formal groups