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Book Details
Table of Contents
Part. 1. Group Theory: Introduction to groups
Subgroups
Quotient groups and homomorphisms
Group actions
Direct and semidirect products and abelian groups
Further topics in group theory
Part 2. Ring theory: Introduction to rings
Euclidean domains, principal ideal domains and unique factorization domains
Polynomial rings
Part 3. Modules and vector spaces: Introduction to module theory
Vector spaces
Modules over principal ideal domains
Part. 4. Field theory and Galois theory: Field theory
Galois theory
Part 5. An introduction to commutative rings, algebraic geometry, and homological algebra: Commutative rings and algebraic geometry
Artinian rings, discrete valuation rings, and Dedekind domains
Introduction to homological algebra and group cohomology
Part 6. Introduction to the representation theory of finite groups: Representation theory and character theory
Examples and applications of character theory.
Edition Notes
Includes index.
Text in English.
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Feedback?September 16, 2024 | Edited by MARC Bot | import existing book |
December 29, 2022 | Edited by Tom Morris | merge authors |
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December 9, 2009 | Created by WorkBot | add works page |