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Hopf Algebras and Galois Module Theory
About this Title
Lindsay N. Childs, University at Albany, Albany, NY, Cornelius Greither, Universität der Bundeswehr München, Neubiberg, Germany, Kevin P. Keating, University of Florida, Gainesville, FL, Alan Koch, Agnes Scott College, Decatur, GA, Timothy Kohl, Boston University, Boston, MA, Paul J. Truman, Keele University, Staffordshire, United Kingdom and Robert G. Underwood, Auburn University at Montgomery, Montgomery, AL
Publication: Mathematical Surveys and Monographs
Publication Year:
2021; Volume 260
ISBNs: 978-1-4704-6516-2 (print); 978-1-4704-6737-1 (online)
DOI: https://doi.org/10.1090/surv/260
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Front/Back Matter
Chapters
Hopf-Galois extensions
- Hopf-Galois structures on Galois extensions of fields, regular subgroups, and skew braces
- (Non)-existence results on Hopf-Galois structures
- Hopf-Galois structures arising from fixed point free pairs of homomorphisms
- Quantitative results
- Enumeration of Hopf-Galois structures on Galois extenion of degree $mp$
- On the Galois correspondence for Hopf-Galois structures
- Normality in Hopf-Galois extensions
- Descent theory, and the structure of Hopf algebras acting on separable field extensions
- Hopf-Galois actions on purely inseparable extensions
Hopf-Galois module theory
- Hopf-Galois module theory
- Hopf orders in group rings
- Ramification theory for separable extensions of local fields
- Stable and semistable Hopf-Galois extensions
- Hopf-Galois scaffolds
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