ArticleOriginal scientific text

Title

The Hasse Principle modulo nth powers

Authors 1

Affiliations

  1. Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109, U.S.A.

Bibliography

  1. A. Adem and R. J. Milgram, Cohomology of Finite Groups, Grundlehren Math. Wiss. 309, Springer, 1994.
  2. J. Arason, Cohomologische Invarianten quadratischer Formen, J. Algebra 36 (1975), 448-491.
  3. D. J. Benson, Representations and Cohomology I, Cambridge Stud. Adv. Math. 30, Cambridge Univ. Press, 1991.
  4. N. Bourbaki, Algebra II, English transl., Springer, 1990.
  5. K. S. Brown, Cohomology of Groups, Grad. Texts in Math. 87, Springer, 1982.
  6. J. F. Carlson, The mod-2 cohomology of 2-groups, http://www.math.uga.edu/~jfc/groups/cohomology.html.
  7. H. Cartan and S. Eilenberg, Homological Algebra, Princeton Univ. Press, 1956.
  8. J. W. S. Cassels and A. Fröhlich, Algebraic Number Theory, Academic Press, 1967.
  9. A. Fröhlich, On non-ramified extensions with prescribed Galois group, Mathematika 9 (1962), 133-134.
  10. S. Gurak, On the Hasse Norm Principle, J. Reine Angew. Math. 299 (1978), 16-27.
  11. G. Karpilovsky, The Schur Multiplier, Oxford Univ. Press, 1987.
  12. Y. Koya, A generalization of class formation by using hypercohomology, Invent. Math. 101 (1990), 705-715.
  13. D. B. Leep and A. R. Wadsworth, The transfer ideal of quadratic forms and a Hasse norm theorem mod squares, Trans. Amer. Math. Soc. 315 (1989), 415-431.
  14. D. B. Leep and A. R. Wadsworth, The Hasse theorem mod squares, J. Number Theory 42 (1992), 337-348.
  15. J. Moshe, The Cebotarev density theorem for function fields: an elementary approach, Math. Ann. 261 (1982), 467-475.
  16. H. Opolka, Norm exponents and representation groups, Proc. Amer. Math. Soc. 111 (1961), 595-597.
  17. D. Quillen and B. B. Venkov, Cohomology of finite groups and elementary abelian subgroups, Topology 11 (1972), 317-318.
  18. D. J. Rusin, The cohomology of the groups of order 32, Math. Comp. 53 (1989), 359-385.
  19. J. P. Serre, Local Fields, English transl., Grad. Texts in Math. 67, Springer, 1979.
  20. E. Weiss, Cohomology of Groups, Academic Press, 1969.
Pages:
269-285
Main language of publication
English
Received
1998-02-24
Published
1999
Exact and natural sciences