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SK 1 of finite group rings: V

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References

  1. R. Alperin, K. Dennis, R. Oliver andM. Stein,SK 1 of finite abelian groups: II, Invent. Math.87 (1987), 253–302.

    Article  MATH  MathSciNet  Google Scholar 

  2. E. Artin andH. Hasse,Die beiden Ergänzungssätze zum Reziprozitätsgesetz der l n-ten Potenzreste im Körper der l n-ten Einheitswurzeln, Abh. Math. Sem. Hamburg6 (1928), 146–162.

    Google Scholar 

  3. A. Bak andU. Rehmann,The congruence subgroup and metaplectic problems for SL n≥2 of division algebras, J. Algebra78 (1982), 475–547.

    Article  MATH  MathSciNet  Google Scholar 

  4. H. Bass,Algebraic K-theory, Benjamin (1968).

  5. H. Bass, J. Milnor andJ.-P. Serre,Solution of the congruence subgroup problem for SL n (n≥3) and Sp 2n (n≥2), I.H.E.S., Publications Math.33 (1967), 59–137.

    MATH  MathSciNet  Google Scholar 

  6. J. W. S. Cassels andA. Fröhlich,Algebraic number theory, Academic Press (1967).

  7. C. Curtis andI. Reiner,Representation theory of finite groups and associative algebras (Interscience, London, 1962).

    MATH  Google Scholar 

  8. P. Hilton andU. Stammbach,A course in homological algebra, Springer-Verlag (1971).

  9. B. Huppert,Endliche Gruppen, Springer-Verlag, (1967).

  10. T.-Y. Lam,Induction theorems for Grothendieck groups and Whitehead groups of finite groups, Ann. Sci. Ecole Norm. Sup.1 (1968), 91–148.

    MATH  MathSciNet  Google Scholar 

  11. T. Y. Lam,Artin exponent of finite groups. J. Alg.9 (1968), 94–119.

    Article  MATH  Google Scholar 

  12. J. Milnor,Introduction to Algebraic K-theory, Princeton Univ. Press (1971).

  13. R. Oliver,SK 1 for finite group rings: I, Invent. Math.57 (1980), 183–204.

    Article  MATH  MathSciNet  Google Scholar 

  14. R. Oliver, Correction to:SK 1 for finite group rings: I, Invent. Math.64 (1981), 167–169.

    Article  MATH  MathSciNet  Google Scholar 

  15. R. Oliver,SK 1 for finite group rings: II, Math. Scand.47 (1980), 195–231.

    MATH  MathSciNet  Google Scholar 

  16. R. Oliver,SK 1 for finite group rings: III, Lecture Notes in Math. vol. 854, Springer-Verlag (1981), 299–337.

  17. R. Oliver,SK 1 for finite group rings: IV, Proc. London Math. Soc.46 (1983), 1–37.

    MATH  MathSciNet  Google Scholar 

  18. R. Oliver,D(ℤπ)+ and the Artin cokernel, Comment. Math. Helv.58 (1983), 291–311.

    Article  MATH  MathSciNet  Google Scholar 

  19. R. Oliver, Lower bounds forK top2 (ℤρπ) and2(ℤπ), J. Algebra94 (1985), 425–487.

    Article  MATH  MathSciNet  Google Scholar 

  20. R. Oliver,The Whitehead transfer homomorphism for oriented S 1-bundles, Math. Scand.57 (1985), 51–104.

    MATH  MathSciNet  Google Scholar 

  21. R. Oliver,K 2 of p-adic group rings of abelian p-groups Math. Z. (to appear).

  22. P. Roquette,Realisierung von Darstellungen endlicher nilpotenter Gruppen, Arkiv der Math.9 (1958), 241–250.

    Article  MATH  MathSciNet  Google Scholar 

  23. J.-P. Serre,Corps Locaux, Hermann, (1968).

  24. R. Swan,Excision in algebraic K-theory, J. Pure Appl. Alg.1 (1971), 221–252.

    Article  MathSciNet  Google Scholar 

  25. J. Sylvester,Introduction to Algebraic K-theory, Chapman and Hall (1981).

  26. C. T. C. Wall,Norms of units in groups rings, Proc. London Math. Soc.29 (1974), 593–632.

    MATH  MathSciNet  Google Scholar 

  27. D. Gluck,Artin exponent for arbitrary of cyclic subgroups, J. Algebra61 (1979), 58–70.

    Article  MATH  MathSciNet  Google Scholar 

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Oliver, R. SK 1 of finite group rings: V. Commentarii Mathematici Helvetici 62, 465–509 (1987). https://doi.org/10.1007/BF02564457

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