Syzygies and Homotopy Theory

1. Preliminaries
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2. The Restricted Linear Group
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3. The Calculus of Corners and Squares
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4. Extensions of Modules
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5. The Derived Module Category
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6. Finiteness Conditions
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7. The Swan Mapping
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8. Classification of Algebraic Complexes
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9. Rings with Stably Free Cancellation
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10. Group Rings of Cyclic Groups
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11. Group Rings of Dihedral Groups
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12. Group Rings of Quaternion Groups
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13. Parametrizing Ω
1(Z): Generic Case
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14. Parametrizing Ω
1(Z): Singular Case
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15. Generalized Swan Modules
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16. Parametrizing Ω
1(Z):G=C
∞×Φ

F. E. A. Johnson

17. Conclusion
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Keywords: Mathematics, Group Theory and Generalizations, Commutative Rings and Algebras