The Whitehead group of a polynomial extension

Hyman Bass; Alex Heller; Richard G. Swan

Publications Mathématiques de l'IHÉS (1964)

  • Volume: 22, page 61-79
  • ISSN: 0073-8301

How to cite

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Bass, Hyman, Heller, Alex, and Swan, Richard G.. "The Whitehead group of a polynomial extension." Publications Mathématiques de l'IHÉS 22 (1964): 61-79. <http://eudml.org/doc/103846>.

@article{Bass1964,
author = {Bass, Hyman, Heller, Alex, Swan, Richard G.},
journal = {Publications Mathématiques de l'IHÉS},
language = {eng},
pages = {61-79},
publisher = {Institut des Hautes Études Scientifiques},
title = {The Whitehead group of a polynomial extension},
url = {http://eudml.org/doc/103846},
volume = {22},
year = {1964},
}

TY - JOUR
AU - Bass, Hyman
AU - Heller, Alex
AU - Swan, Richard G.
TI - The Whitehead group of a polynomial extension
JO - Publications Mathématiques de l'IHÉS
PY - 1964
PB - Institut des Hautes Études Scientifiques
VL - 22
SP - 61
EP - 79
LA - eng
UR - http://eudml.org/doc/103846
ER -

References

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  1. [1] H. BASS, K-theory and Stable Algebra, Publ. math. I.H.E.S., n° 22 (1964). Zbl0248.18025MR30 #4805
  2. [2] A. BOREL et J.-P. SERRE, Le théorème de Riemann-Roch (d'après Grothendieck), Bull. Soc. Math. France, 86 (1959), 97-136. Zbl0091.33004MR22 #6817
  3. [3] J. DIEUDONNÉ, Les déterminants sur un corps non-commutatif, Bull. Soc. Math. France, 71 (1943), 27-45. Zbl0028.33904MR7,3a
  4. [4] G. HIGMAN, Units in group rings, Proc. London Math. Soc. (2), 46 (1940), 231-248. Zbl0025.24302MR2,5bJFM66.0104.04
  5. [5] I. KAPLANSKY, Homological Dimension of Rings and Modules (mimeo. notes), University of Chicago, 1959. 
  6. [6] J.-P SERRE, Modules projectifs et espaces fibrés à fibre vectorielle, Sém. Dubreil, Paris, 1958. Zbl0132.41202MR31 #1277
  7. [7] J. H. C. WHITEHEAD, Simple homotopy types, Amer. Jour. Math., 72 (1950), 1-57. Zbl0040.38901MR11,735c
  8. [8] M. ATIYAH and R. BOTT, An elementary proof of the periodicity theorem for the complex linear group (to appear). Zbl0131.38201
  9. [9] M. ATIYAH and F. HIRZEBRUCH, Vector bundles and homogeneous spaces, Proc. Sympos. Pure Math., Amer. Math. Soc., vol. 3 (1961), 7-38. Zbl0108.17705MR25 #2617

Citations in EuDML Documents

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  1. A. Nobile, O. E. Villamayor, Sur la K -théorie algébrique
  2. Naoufel Battikh, Relation entre les conjectures de Farrell-Jones en K -théories algébrique et hermitienne
  3. P. Donovan, The Lefschetz-Riemann-Roch formula
  4. Tsit-Yuen Lam, Induction theorems for Grothendieck groups and Whitehead groups of finite groups
  5. Hyman Bass, K -theory and stable algebra
  6. Valentin Poénaru, Le théorème de S -cobordisme
  7. Hyman Bass, John Milnor, Jean-Pierre Serre, Solution of the congruence subgroup problem for S L n ( n ≥ 3 ) and S p 2 n ( n ≥ 2 )
  8. Laurent Gruson, Fibrés vectoriels sur un polydisque ultramétrique

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