Hopf algebras and Galois module theory / Lindsay N. Childs, Cornelius Greither, Kevin P. Keating, Alan Koch, Timothy Kohl, Paul J. Truman, Robert G. Underwood.

Format:

Book

Author/Creator:

Childs, Lindsay, author.

Series:

Mathematical Surveys and Monographs, 2331-7159 ; v. 260

Language:

English

Subjects (All):

Hopf algebras.

Galois modules (Algebra).

Physical Description:

1 online resource

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2021]

System Details:

Mode of access : World Wide Web

Contents:

Introduction: What is this book about? 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 orders in group rings Ramification theory for separable extensions of local fields Stable and semistable Hopf-Galois extensions Hopf-Galois scaffolds

Notes:

Includes bibliographical references and index.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2021

Description based on print version record.

Other Format:

Print version: Childs, Lindsay, Hopf algebras and Galois module theory /

ISBN:

9781470467371 (online)

Access Restriction:

Restricted for use by site license.