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Swan, R. G.

Invariant rational functions and a problem of Steenrod. (English) Zbl 0186.07601

Invent. Math. 7, 148-158 (1969).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 6 Reviews
Cited in 89 Documents

Keywords:

commutative algebra
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References:

[1] Bass, H.: Big projective modules are free. Ill. J. Math.7, 24-31 (1963). · Zbl 0115.26003
[2] Cartan, H., and S. Eilenberg: Homological algebra. Princeton, 1956. · Zbl 0075.24305
[3] Curtis, C. W., and I. Reiner: Representation theory of finite groups and associative algebras. New York: Interscience 1962. · Zbl 0131.25601
[4] Hasse, H.: Zahlentheorie. Berlin: Akademie-Verlag 1963.
[5] Kaplansky, I.: Modules over Dedekind rings and valuation rings. Trans. Amer. Math. Soc.72, 327-340 (1952). · Zbl 0046.25701 · doi:10.1090/S0002-9947-1952-0046349-0
[6] Kuyk, W.: On a theorem of E. Noether. Nederl. Akad. Wetensch. Proc., Ser. A67, 32-39 (1964). · Zbl 0166.04703
[7] Lang, S.: Diophantine geometry. New York: Interscience 1962. · Zbl 0115.38701
[8] Masuda, K.: On a problem of Chevalley. Nagoya Math. J.8, 59-63 (1955). · Zbl 0065.02601
[9] ?: Application of the theory of the group of classes of projective modules to the existence problem of independent parameters of invariant. J. Math. Soc. Japan20, 223-232 (1968). · Zbl 0159.33803 · doi:10.2969/jmsj/02010223
[10] Noether, E.: Gleichungen mit vorgeschriebener Gruppe. Math. Ann.78, 221-229 (1916). · JFM 46.0135.01 · doi:10.1007/BF01457099
[11] Rim, D. S.: modules over finite groups. Ann. of Math.69, 700-712 (1959). · Zbl 0092.26104 · doi:10.2307/1970033
[12] Roquette, P.: Einheiten und Divisorenklassen in endlich erzeugbaren Körpern. J. Deutsch. Math. Verein60, 1-27 (1958). · Zbl 0079.26901
[13] Samuel, P.: Sur les anneaux factoriels. Bull. Soc. Math. France89, 155-173 (1961). · Zbl 0101.27305
[14] Serre, J.-P.: Modules projectifs et espaces fibrés à fibre vectorielle. Sem. Dubreil, Paris 1958. · Zbl 0132.41202
[15] Swan, R. G.: Induced representations and projective modules. Ann. of Math.71, 552-578 (1960). · Zbl 0104.25102 · doi:10.2307/1969944
[16] ?: Periodic resolutions for finite groups. Ann. of Math.72, 267-291 (1960). · Zbl 0096.01701 · doi:10.2307/1970135
[17] ?: The Grothendieck ring of a finite group. Topology2, 85-110 (1963). · Zbl 0119.02905 · doi:10.1016/0040-9383(63)90025-9
[18] Zariski, O., and P. Samuel: Commutative algebra. Vol. I. Princeton: Van Nostrand 1958. · Zbl 0081.26501
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