Induction theorems for Grothendieck groups and Whitehead groups of finite groups
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 1 (1968) no. 1, pp. 91-148.
@article{ASENS_1968_4_1_1_91_0,
     author = {Lam, Tsit-Yuen},
     title = {Induction theorems for {Grothendieck} groups and {Whitehead} groups of finite groups},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {91--148},
     publisher = {Elsevier},
     volume = {Ser. 4, 1},
     number = {1},
     year = {1968},
     doi = {10.24033/asens.1161},
     mrnumber = {38 #217},
     zbl = {0164.02703},
     language = {en},
     url = {http://www.numdam.org/articles/10.24033/asens.1161/}
}
TY  - JOUR
AU  - Lam, Tsit-Yuen
TI  - Induction theorems for Grothendieck groups and Whitehead groups of finite groups
JO  - Annales scientifiques de l'École Normale Supérieure
PY  - 1968
SP  - 91
EP  - 148
VL  - 1
IS  - 1
PB  - Elsevier
UR  - http://www.numdam.org/articles/10.24033/asens.1161/
DO  - 10.24033/asens.1161
LA  - en
ID  - ASENS_1968_4_1_1_91_0
ER  - 
%0 Journal Article
%A Lam, Tsit-Yuen
%T Induction theorems for Grothendieck groups and Whitehead groups of finite groups
%J Annales scientifiques de l'École Normale Supérieure
%D 1968
%P 91-148
%V 1
%N 1
%I Elsevier
%U http://www.numdam.org/articles/10.24033/asens.1161/
%R 10.24033/asens.1161
%G en
%F ASENS_1968_4_1_1_91_0
Lam, Tsit-Yuen. Induction theorems for Grothendieck groups and Whitehead groups of finite groups. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 1 (1968) no. 1, pp. 91-148. doi : 10.24033/asens.1161. http://www.numdam.org/articles/10.24033/asens.1161/

[1] A. A. Albert, Fundamental concepts of higher algebra, University of Chicago Press, 1956. | Zbl

[2] E. Artin and J. Tate, Class Field Theory, Harvard University Notes, 1961.

[3] M. Atiyah, Characters and cohomology of finite groups (Publications mathématiques, I. H. E. S., No. 9). | Numdam | Zbl

[4] H. Bass, K-theory and stable algebra (Publications mathématiques, I. H. E. S., No. 22, p. 4-59). | Numdam

[5] H. Bass, A. Heller and R. Swan, The Whitehead group of a polynomial extension (Publications mathématiques, I. H. E. S., No. 22, p. 61-79). | Numdam | MR | Zbl

[6] H. Bass, The Dirichlet unit theorem, induced characters, and Whitehead groups of finite groups (Topology, vol. 4, 1966, p. 391-410). | MR | Zbl

[7] H. Bass, Topics in algebraic K-theory, Tata Institute Notes, 1966.

[8] H. Bass and J. Milnor, On the congruence subgroup problem for SLn (n ≥ 3) and Sp2n (n ≥ 2) (mimeographed notes of Institute for Advanced Studies, Princeton, 1966).

[9] H. Bass and M. P. Murthy, Grothendieck groups and Picard groups of abelian group rings (to appear in Annals of Math.). | Zbl

[10] H. Bass, J. Milnor and J.-P. Serre, Solution of the congruence subgroup problem for SLn (n ≥ 3) and Sp2n (n ≥ 2), to appear in Publications mathématiques, I. H. E. S. | Numdam | Zbl

[11] H. Cartan and S. Eilenberg, Homological algebra, Princeton University Press, 1956. | MR | Zbl

[12] C. Curtis and I. Reiner, Representation theory of finite groups and associative algebras, J. Wiley, New York, 1962. | MR | Zbl

[13] M. I. Giorgiutti, Thèse de l'Université de Paris, 1963.

[14] M. Hall, Theory of groups, Mc Millan, New York, 1959. | MR | Zbl

[15] A. Heller and I. Reiner, Grothendieck groups of orders in semi-simple algebras (Trans. Amer. Math. Soc., vol. 112, 1964, p. 344-355). | MR | Zbl

[16] G. Higman, The units of group rings (Proc. London Math. Soc., vol. 46, 1940, p. 231-248). | JFM | MR | Zbl

[17] T. Y. Lam, Artin exponent of finite groups (Journal of Algebra) (to appear). | Zbl

[18] J. Milnor, Whitehead torsion (Bull. Amer. Math. Soc., vol. 72, No. 3, 1966, p. 358-426). | MR | Zbl

[19] D. S. Rim, Modules over finite groups (Ann. of Math., vol. 69, 1960, p. 700-712). | MR | Zbl

[20] J.-P. Serre, Corps locaux, Herman, Paris, 1962. | MR | Zbl

[21] R. G. Swan, Induced representations and projective modules (Ann. of Math., vol. 71, 1960, p. 552-578). | MR | Zbl

[22] R. G. Swan, The Grothendieck ring of a finite group (Topology, vol. 2, 1963, p. 85-110). | MR | Zbl

[23] O. Zariski and P. Samuel, Commutative algebra, vol. 1, Van Nostrand, Princeton, 1958. | MR | Zbl

[24] J. Strooker, Thesis at Rijkuniversiteit te Utrecht, 1965.

Cité par Sources :