Le cinquième problème de Hilbert. État de la question en 1951

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1. [1] L. E. J. BROUWER, Die Theorie der endlichen kontinuerlichen Gruppen, unabhangig von den Axiomen von Lie (Math. Ann., t. 67, 1909, p. 246-267). Zbl40.0194.01JFM40.0194.01
2. [2] L. E. J. BROUWER, Ibid., t. 69, 1910, p. 181-203. JFM41.0181.03
3. [3] C. CHEVALLEY, Two theorems on solvable topological groups (Lectures in Topology, Michigan, 1941). Zbl0063.00839MR3,135a
4. [4] C. CHEVALLEY, Theory of Lie groups, Princeton, 1946. Zbl0063.00842
5. [5] A. M. GLEASON, Square roots in locally euclidean groups (Bull. Amer. Math. Soc., t. 55, 1949, p. 446-449). Zbl0041.16002MR10,507c
6. [6] A. M. GLEASON, Spaces with a compact Lie group of transformations (Proc. Amer. Math. Soc., t. 1, 1950, p. 35-43). Zbl0041.36207MR11,497e
7. [7] A. M. GLEASON, The structure of locally compact groups (Duke Math. Journ., t. 18, 1951, p. 85-110). Zbl0044.01901MR12,589a
8. [8] A. M. GLEASON, Arcs in locally compact groups (Proc. Nat. Acad. Sc. U.S.A., t. 36, 1950, p. 663-667). Zbl0040.15301MR12,391b
9. [9] D. HILBERT, Mathematische Probleme (Gott. Nachr., 1900, p. 253-297). JFM31.0068.03
10. [10] W. HUREWICZ and H. WALLMAN, Dimension Theory, Princeton, 1941. Zbl0060.39808MR3,312bJFM67.1092.03
11. [11] K. IWASAWA, On some types of topological groups (Ann. Math., t. 50, 1949, p. 507-558). Zbl0034.01803MR10,679a
12. [12] VON KEREKJARTO, Geometrische Theorie der Zweigliedrigen kontinuerlichen Gruppen Hamb. Abh., t. 8, 1931, p. 107-114). JFM56.1026.03
13. [13] M. KURANISHI, On euclidean local groups satisfying certain conditions (Proc. Amer. Math. Soc., t. 1, 1950, p. 372-380). Zbl0038.01701MR12,77f
14. [14] M. KURANISHI, On conditions of differentiability of locally compact groups (Nagoya Math. Journ., t. 1, 1950, p. 71-81). Zbl0037.30502MR12,391a
15. [15] D. MONTGOMERY, A theorem on locally euclidean groups (Ann. Math., 48, 1947, p. 650-659). Zbl0030.10802MR9,174e
16. [16] D. MONTGOMERY, Connected one dimensional groups (Ann. Math., t. 49, 1948, p. 110-117). Zbl0030.01001MR9,496b
17. [17] D. MONTGOMERY, Analytic parameters in three dimensional groups (Ann. Math., t. 49, 1948, p. 118-131). Zbl0030.01002MR9,496c
18. [18] D. MONTGOMERY, Dimension of factor spaces (Ann. Math., t. 49, 1948, p. 373-378). Zbl0031.24802MR9,566c
19. [19] D. MONTGOMERY, Connected two dimensional groups (Ann. Math., t. 51, 1950, p. 262-277). Zbl0037.15601MR11,497c
20. [20] D. MONTGOMERY, Locally homogeneous spaces (Ann. Math., t. 52, 1950, p. 261-271). Zbl0038.36201MR13,319e
21. [21] D. MONTGOMERY, Finite dimensional groups (Ann. Math., t. 52, 1950, p. 591-605). Zbl0041.36310MR12,673e
22. [22] D. MONTGOMERY, and L. ZIPPIN, Existence of subgroups isomorphic to the real numbers (Ann. Math., t. 53, 1951, p. 298-326). Zbl0045.31202MR13,911f
23. [23] D. MONTGOMERY, and L. ZIPPIN, Bull. Amer. Math. Soc., t. 57, p. 75, Abstract 53 t. 
24. [24] D. MONTGOMERY, and L. ZIPPIN, Ibid., p. 145, Abstract 176 t. 
25. [25] J. VON NEUMANN, Die Einführung analytischer Parameter in topologische Gruppen (Ann. Math., t. 34, 1933, p. 170-190). Zbl0006.30003JFM59.0433.01
26. [26] L. PONTRJAGIN, The theory of topological commutative groups (Ann. Math., t. 35, 1934, p. 361-388). Zbl0009.15601JFM60.0362.02
27. [27] L. PONTRJAGIN, Topological groups, Princeton, 1939. JFM65.0872.02
28. [28] O. SCHREIER, Abstrakte kontinuerliche Gruppen (Hamb. Abh., t. 4, 1926, p. 15-32). JFM51.0112.04
29. [29] P. A. SMITH, Transformations of finite period. III. Newman's theorem (Ann. Math., t. 42, 1941, p. 446-458). Zbl0027.26602MR2,324cJFM67.0743.01
30. [30] P. A. SMITH, Periodic and nearly periodic transformations (Lectures in Topolody, Michigan, 1941). Zbl0063.07091MR3,133c
31. [31] A. WEIL, L'intégration dans les groupes topologiques et ses applications, Paris, 1940. Zbl0063.08195MR3,198bJFM66.1205.02
32. [32] R. L. WILDER, Topology of Manifolds, Colloquium, 1949. Zbl0039.39602MR10,614c
33. [33] H. YAMABE, Note on locally compact groups (Osaka Math. Journ., t. 3, 1951, p. 77-82). Zbl0043.03202MR13,13a