This book offers a self-contained exposition of local class field
theory, serving as a second course on Galois theory. It opens with a
discussion of several fundamental topics in algebra, such as profinite
groups, p-adic fields, semisimple algebras and their modules, and
homological algebra with the example of group cohomology. The book
culminates with the description of the abelian extensions of local
number fields, as well as the celebrated Kronecker–Weber theory, in
both the local and global cases. The material will find use across
disciplines, including number theory, representation theory, algebraic
geometry, and algebraic topology. Written for beginning graduate
students and advanced undergraduates, this book can be used in the
classroom or for independent study.
Les mer
Produktdetaljer
ISBN
9781108389860
Publisert
2018
Utgiver
Vendor
Cambridge University Press
Språk
Product language
Engelsk
Format
Product format
Digital bok
Forfatter