Titlebook: Galois Cohomology and Class Field Theory; David Harari Textbook 2020 Springer Nature Switzerland AG 2020 Galois cohomology.Class Field The

Recess

https://doi.org/10.1007/978-1-349-03111-5This chapter starts local class field theory with the computation of the Brauer group of a local field and of its cohomological dimension.

整理

limber

The Uruguay Round Negotiations,This chapter covers Tate local duality, unramified cohomology, and a second proof of the local existence theorem.

Outspoken

只有

Terry Marsden,Tim Lang,Erik MillstoneThis chapter recalls basic facts on global fields.

radiograph

Bulbul Nargis Sultana,Nasrin BanuThis chapter starts global class field theory: cohomology of idèles, Kummer extensions, second inequality.

Melodrama

Asraful Alam,Rukhsana,Nilanjana GhosalThis chapter continues global class field theory: reciprocity law, Brauer group, norm residue symbol.

CHASM

缺乏

Cohomology of Finite Groups: Basic PropertiesThis chapter gives the first properties of the cohomology of a finite group, which will be essential in the whole book.

amygdala

Groups Modified , Tate, Cohomology of Cyclic GroupsThis chapter introduces the modified Tate groups and cup-products.