{"product_id":"hopf-algebras-and-galois-module-theory-9781470465162","title":"Hopf Algebras and Galois Module Theory","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eHopf algebras have been shown to play a natural role in studying questions of integral module structure in extensions of local or global fields. This book surveys the state of the art in Hopf-Galois theory and Hopf-Galois module theory.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003eIntroduction: What is this book about?\u003c\/li\u003e\n\u003cli\u003eHopf-Galois extensions: Hopf-Galois structures on Galois extensions of fields, regular subgroups, and skew braces\u003c\/li\u003e\n\u003cli\u003e(Non)-existence results on Hopf-Galois structures\u003c\/li\u003e\n\u003cli\u003eHopf-Galois structures arising from fixed point free pairs of homomorphisms\u003c\/li\u003e\n\u003cli\u003eQuantitative results\u003c\/li\u003e\n\u003cli\u003eEnumeration of Hopf-Galois structures on Galois extenion of degree $mp$\u003c\/li\u003e\n\u003cli\u003eOn the Galois correspondence for Hopf-Galois structures\u003c\/li\u003e\n\u003cli\u003eNormality in Hopf-Galois extensions\u003c\/li\u003e\n\u003cli\u003eDescent theory, and the structure of Hopf algebras acting on separable field extensions\u003c\/li\u003e\n\u003cli\u003eHopf-Galois actions on purely inseparable extensions\u003c\/li\u003e\n\u003cli\u003eHopf-Galois module theory: Hopf-Galois module theory\u003c\/li\u003e\n\u003cli\u003eHopf orders in group rings\u003c\/li\u003e\n\u003cli\u003eRamification theory for separable extensions of local fields\u003c\/li\u003e\n\u003cli\u003eStable and semistable Hopf-Galois extensions\u003c\/li\u003e\n\u003cli\u003eHopf-Galois scaffolds\u003c\/li\u003e\n\u003cli\u003eBibliography\u003c\/li\u003e\n\u003cli\u003eIndex\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":50046697275735,"sku":"9781470465162","price":98.1,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781470465162.jpg?v=1740272435","url":"https:\/\/bookcurl.com\/products\/hopf-algebras-and-galois-module-theory-9781470465162","provider":"Book Curl","version":"1.0","type":"link"}