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

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Atiyah, Michael F.. "Characters and cohomology of finite groups." Publications Mathématiques de l'IHÉS 9 (1961): 23-64. <http://eudml.org/doc/103826>.

@article{Atiyah1961,
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 = {http://eudml.org/doc/103826},
volume = {9},
year = {1961},
}

TY - JOUR
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 - http://eudml.org/doc/103826
ER -

References

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  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

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  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. Rene P. Held, Ulrich Suter, On torsion in unitary K-theory of compact Lie groups
  10. Graeme Segal, The representation-ring of a compact Lie group

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