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Algèbres de Lie et pro-p-groupes définis par une seule relation. (French) Zbl 0212.36303


MSC:

20E05 Free nonabelian groups
20J05 Homological methods in group theory
22E99 Lie groups
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References:

[1] Baumslag, G.: Residual nilpotence and relations in free groups. J. Algebra2, 271-282 (1965). · Zbl 0131.02201
[2] Bourbaki, N.: Groupes et algèbres de Lie, Ch. 1. Act. scient. et ind., 1285. Paris: Hermann 1960.
[3] Brumer, A.: Pseudocompakt algebras, profinite groups and class formations. J. Algebra4, 442-470 (1966). · Zbl 0146.04702
[4] Cartan, H., andS. Ellenberg: Homological algebra. Princeton Math. Ser., No. 19, Princeton 1956. · Zbl 0075.24305
[5] Gildenhuys, D.: An embedding theorem for pro-p-groups, derivations of pro-p-groups and applications to fields and cohomology, Thesis, McGill Univ., 1966.
[6] Labute, J.: Classification of Demu?kin groups. Can. J. Math.19, 106-132 (1967). · Zbl 0153.04202
[7] Labute, J.: Demu?kin groups of rank ?0. Bull. Soc. Math. France94, 211-244 (1966). · Zbl 0154.02001
[8] Lazard, M.: Groupes analytiquesp-adiques. Publ. Inst. Hautes Etudes Sci. No. 26. Paris 1965. · Zbl 0139.02302
[9] Lyndon, R.: Cohomology theory of groups with a single defining relation. Ann. Math.52, 650-665 (1950). · Zbl 0039.02302
[10] Serre, J.-P.: Structure de certains pro-p-groups. Séminaire Bourbaki15, n{\(\deg\)} 252, 11 p. (1962/63).
[11] Serre, J.-P.: Cohomologie galoisienne. (Lecture Notes in Mathematics, 5.) Berlin-Göttingen-Heidelberg: Springer 1964. · Zbl 0143.05901
[12] ?: Lie algebras and Lie groups. 1964. Lectures given at Harvard University. New York: W. A. Benjamin 1965. · Zbl 0132.27803
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