Characters and cohomology of finite groups

Michael F. Atiyah

Publications Mathématiques de l'IHÉS (1961)

  • Volume: 9, page 23-64
  • ISSN: 0073-8301

How to cite


Atiyah, Michael F.. "Characters and cohomology of finite groups." Publications Mathématiques de l'IHÉS 9 (1961): 23-64. <>.

author = {Atiyah, Michael F.},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {group theory},
language = {eng},
pages = {23-64},
publisher = {Institut des Hautes Études Scientifiques},
title = {Characters and cohomology of finite groups},
url = {},
volume = {9},
year = {1961},

AU - Atiyah, Michael F.
TI - Characters and cohomology of finite groups
JO - Publications Mathématiques de l'IHÉS
PY - 1961
PB - Institut des Hautes Études Scientifiques
VL - 9
SP - 23
EP - 64
LA - eng
KW - group theory
UR -
ER -


  1. [1] M. F. ATIYAH and F. HIRZEBRUCH, Vector bundles and homogeneous spaces, Differential Geometry, Proc. of Symp. in Pure Math., vol. 3, Amer. Math. Soc., 1961. Zbl0108.17705MR25 #2617
  2. [2] A. BOREL and F. HIRZEBRUCH, Characteristic classes and homogeneous spaces I, Amer. J. Math., 80 (1958), pp. 458-538. Zbl0097.36401MR21 #1586
  3. [3] R. BOTT, The space of loops on a Lie group, Mich. Math. J., 5 (1958), pp. 35-61. Zbl0096.17701MR21 #1589
  4. [4] R. BOTT, Some remarks on the periodicity theorems, Colloque de Topologie, Lille, 1959, Bull. Soc. Math. France, 87 (1959), pp. 293-310. Zbl0124.38203
  5. [5] R. BRAUER and J. TATE, On the characters of finite groups, Ann. of Math., 62 (1955), pp. 1-7. Zbl0065.01401MR16,1087c
  6. [6] H. CARTAN and C. CHEVALLEY, Séminaire E.N.S., Paris, 1956. 
  7. [7] H. CARTAN and S. EILENBERG, Homological Algebra, Princenton, University Press, 1956. Zbl0075.24305MR17,1040e
  8. [8] J. DIEUDONNÉ and A. GROTHENDIECK, Éléments de Géométrie algébrique, Publ. Math., Inst. Hautes Études Scient. (to appear). 
  9. [9] F. HIRZEBRUCH, Neue topologische Methoden in der algebraischen Geometrie, Springer, Berlin, 1956. Zbl0101.38301MR18,509b
  10. [10] J. MILNOR, Construction of universal bundles II, Ann. of Math., 63 (1956), pp. 430-436. Zbl0071.17401MR17,1120a
  11. [11] D. G. NORTHCOTT, Ideal Theory, Cambridge University Press, 1953. Zbl0052.26801MR15,390f
  12. [12] N. STEENROD, The Topology of Fibre Bundles, Princeton University Press, 1951. Zbl0054.07103MR12,522b
  13. [13] J. H. C. WHITEHEAD, Combinatorial homotopy I, Bull. Amer. Math. Soc., 55 (1949), pp. 213-245. Zbl0040.38704MR11,48b
  14. [14] O. ZARISKI and P. SAMUEL, Commutative Algebra (vol. I), Van Nostrand, Princeton, 1958. Zbl0081.26501MR19,833e

Citations in EuDML Documents

  1. Graeme Segal, Elliptic cohomology
  2. J. M. Lemaire, Le transfert dans les espaces fibrés
  3. Peter Hilton, Commuting limits
  4. Jean-Marc Braemer, Cohomologies de certaines formes sphériques
  5. Ted Petrie, John Randall, Spherical isotropy representations
  6. François Aribaud, Une nouvelle démonstration d'un théorème de R. Bott et B. Kostant
  7. D. Lehmann, (Co)-homologies généralisées des espaces K ( Π , 1 ) et des formes sphériques
  8. Tsit-Yuen Lam, Induction theorems for Grothendieck groups and Whitehead groups of finite groups
  9. Graeme Segal, The representation-ring of a compact Lie group
  10. Pierre Guillot, The computation of Stiefel-Whitney classes

NotesEmbed ?


You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.


Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.