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Second Edition

  Authors: Joseph A. Gallian  
  Pages: 549 pages  
  Language: English  
  Format: DJVU file (See download section for DjVu Reader)  
  Size: 8545 Kb
 
  CONTENTS OR SUMMARY:
 

Chapter 01: Introduction to Groups
Chapter 02: Groups
Chapter 03: Finite Groups; Subgroups
Chapter 04: Cyclic Groups
Chapter 05: Permutation Groups
Chapter 06: Isomorphisms
Chapter 07: External Direct Products
Chapter 08: Internal Direct Products
Chapter 09: Cosets and Lagrange's Theorem
Chapter 10: Normal Subgroups and Factor Groups
Chapter 11: Group Homomorphisms
Chapter 12: Fundamental Theorem of Finite Abelian Groups
Chapter 13: Introduction to Rings
Chapter 14: Properties of Rings
Chapter 15: Integral Domain
Chapter 16: Ideals and Factor Rings
Chapter 17: Ring Homomorphisms
Chapter 18: Polynomial Rings
Chapter 19: Factorization of Polynomials
Chapter 20: Divisibility in Integral Domain
Chapter 21: Vector Spaces
Chapter 22: Extension Fields
Chapter 23: Algebraic Extensions
Chapter 24: Finite Fields
Chapter 25: Geometric Constructions
Chapter 26: Sylow Theorems
Chapter 27: Finite Simple Groups
Chapter 28: Generators and Relations
Chapter 29: Symmetry Groups
Chapter 30: Frieze Groups and Crystallographic Groups
Chapter 31: Cayley Digraphs of Groups
Chapter 32: Introduction to Algebraic Coding Theory
Chapter 33: An Introduction to Galois Theory
Chapter 34: An Introduction to Boolean Algebras



 

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