Skip to main content

Contributions to the theory of induced representations

  • Representation Theory
  • Conference paper
  • First Online:
“Classical” Algebraic K-Theory, and Connections with Arithmetic

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 342))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. E. Artin: Zur Theorie der L-Reihen mit allgemeinen Größencharakteren, Hamb. Abh. 8 (1931), 292–306

    Article  Google Scholar 

  2. S.D. Berman: p-adic ring of characters Dokl. Akad. Naul 106 (1956), 767–769

    MATH  Google Scholar 

  3. R. Brauer: On Artin's L-series with general group characters, Ann. of Math. 48 (1947), 502–514

    Article  MathSciNet  MATH  Google Scholar 

  4. S.B. Conlon: Decompositions Induced from the Burnside Algebra, J. of Algebra 10, 102–122 (1968)

    Article  MathSciNet  MATH  Google Scholar 

  5. S.B. Conlon: Relative Components of Representations, J. of Algebra, 8, 478–501 (1968)

    Article  MathSciNet  MATH  Google Scholar 

  6. S.B. Conlon: Monomial representations under integral similarity. J. Algebra, 13, 496–508 (1969)

    Article  MathSciNet  MATH  Google Scholar 

  7. C.W. Curtis & I. Reiner: Representation theory of finite groups and associative algebras. Wiley, New York, 1962

    MATH  Google Scholar 

  8. T.tomDieck: Equivariant homology and Mackey functors, Math. Ann. 1973

    Google Scholar 

  9. A.W.M. Dress: A characterization of solvable groups, Math. Z. 110, 213–217, (1969)

    Article  MathSciNet  MATH  Google Scholar 

  10. A.W.M. Dress: On integral representations, Bull. AMS, 75 (1969), 1031–1034

    Article  MathSciNet  MATH  Google Scholar 

  11. A.W.M. Dress: On relative Grothendieck-rings, Bull. AMS, 75 (1969), 955–958

    Article  MathSciNet  MATH  Google Scholar 

  12. A.W.M. Dress: Vertices of integral representations, Math. Z. 114 (1970), 159–169

    Article  MathSciNet  MATH  Google Scholar 

  13. A.W.M. Dress & M. Küchler: Zur Darstellungstheorie endlicher Gruppen I (vorläufige Fassung), Vorlesungsausarbeitung, Univ. Bielefeld, Fak. f. Math, 1970

    Google Scholar 

  14. A.W.M. Dress: Two articles in ‘Papers from the "Open house for algebraists"', Aarhus, Danmark 1970, Various Publication Series, No 17

    Google Scholar 

  15. A.W.M. Dress: Operations in Representation-rings, Proceedings of Symposia in pure Mathematics, Vol. XXI, 39–45 (1971)

    Article  MathSciNet  Google Scholar 

  16. A.W.M. Dress: Notes on the theory of representations of finite groups, Part I, lecture notes, Bielefeld, 1971 (available at Fak. f. Math, Univ. Bielefeld, FRG).

    Google Scholar 

  17. A.W.M. Dress: A note on Wittrings, Bull. A.M.S., March 1973

    Google Scholar 

  18. A.W.M. Dress: A Shortcut to Inductiontheorems, Preprint, Bielefeld, 1972

    Google Scholar 

  19. A.W.M. Dress: Induction-and Structuretheorems for Grothendieck-and Wittrings of orthogonal representations of finite groups, Bull. A.M.S., June 1973

    Google Scholar 

  20. W. Gaschütz: Über den Fundamentalsatz von Maschke zur Darstellungstheorie der endlichen Gruppen. Math. Z. 56, 376–387 (1952).

    Article  MathSciNet  MATH  Google Scholar 

  21. J.A. Green: On the indecomposable representations of a finite group Math. Z. 70, 430–445 (1959)

    Article  MATH  Google Scholar 

  22. J.A. Green: Blocks of modular representation, Math. Z. 79, 100–115 (1962)

    Article  MathSciNet  MATH  Google Scholar 

  23. J.A. Green: Axiomatic Representationtheory for finite groups. Journal of pure and applied algebra-Vol. 1, No. 1., (1971), 41–77.

    Article  MathSciNet  MATH  Google Scholar 

  24. J.A. Green: Relative module Categories for finite groups, Math. Inst, Univ. of Warwick, Jan. 1972

    Google Scholar 

  25. D.G. Higman: Induced and produced modules. Canadian J. Math., 7, 490–508 (1955)

    Article  MathSciNet  MATH  Google Scholar 

  26. Kosniowski: Localizing the Burnsidering, Math. Ann. 73

    Google Scholar 

  27. Kosniowski: On equivariant homology, Math. Ann. 73

    Google Scholar 

  28. T.Y. Lam: Induction Theorems for Grothendieckgroups and Whitehead groups of finite groups. Ann. Sci. Ecole Norm. Sup. 4e série 1 (1968), 91–148

    Google Scholar 

  29. T.Y. Lam: Artin exponent of finite groups, J. of Algebra 9, 94–119, (1968)

    Article  MATH  Google Scholar 

  30. D.G. Quillen: The Adamsconjecture, Top. 10 (1971), 67–80.

    MathSciNet  MATH  Google Scholar 

  31. P. Roquette: Arithmetische Untersuchung des Charakterringes einer endlichen Gruppe. J. f. reine und angw. Math. (Crelle) 190 (1952), 148–168.

    MathSciNet  MATH  Google Scholar 

  32. W. Scharlau: Zur Pfisterschen Theorie der quadratischen Formen. Inv. math. 6 (1969), 327–328

    Article  MathSciNet  MATH  Google Scholar 

  33. W. Scharlau: Induction theorems and the structure of the Wittgroup. Inv. math. 11 (1970), 37–44

    Article  MathSciNet  MATH  Google Scholar 

  34. R. Swan: Induced representations and projective moduls, Ann. Math., Princeton 71 (1960), 552–578

    Article  MathSciNet  MATH  Google Scholar 

  35. R. Swan: The Grothendieckring of a finite group Topology 2 (1963), 85–110

    Article  MathSciNet  MATH  Google Scholar 

  36. E. Witt: Die algebraische Struktur des Gruppenringes einer endlichen Gruppe über einem Zahlenkörper, J. f. reine und angew. Math. 1970 (1952), 231–245

    MathSciNet  Google Scholar 

  37. B. Iversen: Forthcoming Papers, Aarhus 1972/73

    Google Scholar 

  38. A. Speiser: Die Theorie der Gruppen von endlicher Ordnung. Berlin, 1927

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

H. Bass

Rights and permissions

Reprints and permissions

Copyright information

© 1973 Springer-Verlag

About this paper

Cite this paper

Dress, A.W.M. (1973). Contributions to the theory of induced representations. In: Bass, H. (eds) “Classical” Algebraic K-Theory, and Connections with Arithmetic. Lecture Notes in Mathematics, vol 342. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073727

Download citation

  • DOI: https://doi.org/10.1007/BFb0073727

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06435-0

  • Online ISBN: 978-3-540-37770-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics