Abstract algebra: an interactive approach
Understanding the Group Concept Introduction to Groups Modular Arithmetic Prime Factorizations The Definition of a Group The Structure within a Group Generators of Groups Defining Finite Groups in Mathematica and GAP Subgroups Patterns within the Cosets of Groups Left and Right Cosets How to Write a Secret Message Normal Subgroups Quotient Groups Mappings between Groups Isomorphisms Homomorphisms The Three Isomorphism Theorems Permutation Groups Symmetric Groups Cycles Cayley's Theorem Numberin…
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- Full title :Abstract algebra : an interactive approach / William Paulsen.
Summary
Understanding the Group Concept Introduction to Groups Modular Arithmetic Prime Factorizations The Definition of a Group The Structure within a Group Generators of Groups Defining Finite Groups in Mathematica and GAP Subgroups Patterns within the Cosets of Groups Left and Right Cosets How to Write a Secret Message Normal Subgroups Quotient Groups Mappings between Groups Isomorphisms Homomorphisms The Three Isomorphism Theorems Permutation Groups Symmetric Groups Cycles Cayley's Theorem Numbering the PermutationsBuilding Larger Groups from Smaller Groups The Direct Product The Fundamental Theor.
Read More ↓Edition Statements
- Publication Date:2010.
Publication Statements
- Publisher(s):CRC Press
- Place of Publication:Boca Raton, Fla
- Language:eng
- Publication Date:2010.
The Physical Object
- Description:1 online resource (xxix, 525 pages) : : illustrations
Edition Identifiers
- ISBN:9781420094534, 142009453X
- oclc:ocn890721077
- LC Classification:QA162
- Dewey Decimal:512.02
Table of Contents
1. Understanding the group concept -- 2. The structure within a group -- 3. Patterns within the cosets of groups -- 4. Mappings between groups -- 5. Permutation groups -- 6. Building larger groups from smaller groups -- 7. The search for normal subgroups -- 8. Solvable and insoluble groups -- 9. Introduction to rings -- 10. The structure within rings -- 11. Integral domains and fields -- 12. Unique factorization -- 13. Finite division rings -- 14. The theory of fields -- 15. Galois theory.
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