Profinite Groups, Arithmetic, and Geometry
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A01=Stephen S. Shatz
Abelian group
Algebraic closure
Algebraic extension
Algebraic geometry
Algebraic number field
Author_Stephen S. Shatz
Category of abelian groups
Category of sets
Category=PBG
Characterization (mathematics)
Class field theory
Cohomological dimension
Cohomology
Commutative diagram
Composition series
Dedekind domain
Degeneracy (mathematics)
Diagram (category theory)
Dimension (vector space)
Diophantine geometry
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Finite group
Fundamental class
G-module
Galois cohomology
Galois extension
Galois group
Galois module
Galois theory
General topology
Geometry
Grothendieck topology
Group cohomology
Group scheme
Hilbert symbol
Hopf algebra
Ideal (ring theory)
Inequality (mathematics)
Inner automorphism
Lie algebra
Local field
Mathematical induction
Mathematician
Mathematics
Module (mathematics)
Natural topology
Neighbourhood (mathematics)
Normal subgroup
Number theory
P-adic number
P-group
Power series
Prime number
Principal ideal
Profinite group
Quadratic reciprocity
Quotient group
Ring of integers
Sheaf (mathematics)
Special case
Subcategory
Subgroup
Sylow theorems
Theorem
Topological group
Topological ring
Topological space
Topology
Torsion subgroup
Transcendence degree
Triviality (mathematics)
Unique factorization domain
Variable (mathematics)
Product details
- ISBN 9780691080178
- Weight: 369g
- Dimensions: 152 x 229mm
- Publication Date: 21 Mar 1972
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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In this volume, the author covers profinite groups and their cohomology, Galois cohomology, and local class field theory, and concludes with a treatment of duality. His objective is to present effectively that body of material upon which all modern research in Diophantine geometry and higher arithmetic is based, and to do so in a manner that emphasizes the many interesting lines of inquiry leading from these foundations.
