Whitehead Groups of Finite Groups

Klappentext This book's aim is to make accessible techniques for studying Whitehead groups of finite groups. Zusammenfassung This book's aim is to make accessible techniques for studying Whitehead groups of finite groups! as well as a variety of related topics such as induction theory and p-adic logarithms. Inhaltsverzeichnis Part I. General Theory: 1. Basic algebraic background; 2. Structure theorems for K, of orders; 3. Continuous K2 and localization sequences; 4. The congruence subgroup problem; 5. First applications of the congruence subgroup problem; 6. The integral p-adic logarithm; Part II. Group rings of p-groups: 7. The torsion subgroup of Whitehead groups; Chapter 8. The p-adic quotient of SK,(Z[G]): p-groups; 9. Cl1(Z[C]) for p-groups; 10. The torsion free part of Wh(G); Part III. General finite groups: 11. A quick survey of induction theory; 12. The p-adic quotient of SK1(Z[G]): finite groups; 13. CI1(Z[G]) for finite groups; 14. Examples.

Contenu

Part I. General Theory: 1. Basic algebraic background; 2. Structure theorems for K, of orders; 3. Continuous K2 and localization sequences; 4. The congruence subgroup problem; 5. First applications of the congruence subgroup problem; 6. The integral p-adic logarithm; Part II. Group rings of p-groups: 7. The torsion subgroup of Whitehead groups; Chapter 8. The p-adic quotient of SK,(Z[G]): p-groups; 9. Cl1(Z[C]) for p-groups; 10. The torsion free part of Wh(G); Part III. General finite groups: 11. A quick survey of induction theory; 12. The p-adic quotient of SK1(Z[G]): finite groups; 13. CI1(Z[G]) for finite groups; 14. Examples.