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Induction and structure theorems for Grothendieck and Witt rings of orthogonal representations of finite groups


Author: Andreas Dress
Journal: Bull. Amer. Math. Soc. 79 (1973), 741-745
MSC (1970): Primary 15A63, 16A54, 18F25; Secondary 20C99, 20J99, 57D65
DOI: https://doi.org/10.1090/S0002-9904-1973-13291-4
MathSciNet review: 0342599
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  • 1. A. Dress, Notes on the theory of representations of finite groups. I: The Burnside ring of a finite group and some AGN-applications, Multicopied lecture notes, Bielefeld, 1971. MR 360771
  • 2. A. Dress, Contributions to the theory of induced representations, Proc. Conf. Algebra K-theory, (Seattle, Wash., 1972), Lecture Notes in Math., Springer-Verlag (to appear). MR 384917
  • 3. A. Fröhlich and A. M. McEvett, The representations of groups by automorphisms of forms, J. Algebra 12 (1969), 114-133. MR 240217
  • 4. A. Fröhlich, Orthogonal and symplectic representations of groups, Proc. London Math. Soc. (3) 24 (1972), 470-506. MR 308248
  • 5. I. A. Green, Axiomatic representation theory for finite groups, J. Pure Appl. Algebra 1 (1971), 41-77. MR 279208
  • 6. M. Knebusch, Grothendieck- und Wittringe von nicht ausgearteten symmetrischen Bilinearformen, S. -B. Heidelberger Akad. Wiss. Math.-Natur. K 1969/70, 93-157. MR 42 #6001. MR 271118
  • 7. D. G. Quillen, The Adams conjecture, Topology 10 (1971), 67-80. MR 279804
  • 8. W. Scharlau, Induction theorems and the structure of the Witt group, Invent. Math. 11 (1970), 37-44. MR 292752
  • 9. R. Swan, K-theory of finite groups and orders, Lecture Notes in Math., vol. 149, Springer-Verlag, Berlin and New York, 1970. MR 308195
  • 10. R. Swan, Induced representations and projective modules, Ann. of Math. (2) 71 (1960), 552-578. MR 25 #2131. MR 138688
  • 11. C. T. C. Wall, Foundations of algebraic L-theory, Liverpool, 1972 (preprint). MR 357550

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DOI: https://doi.org/10.1090/S0002-9904-1973-13291-4

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