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Extensions of locally compact abelian groups. I, II. (English) Zbl 0216.34302


MSC:

22B99 Locally compact abelian groups (LCA groups)
20K35 Extensions of abelian groups
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References:

[1] Jean Braconnier, Sur les groupes topologiques localement compacts, J. Math. Pures Appl. (9) 27 (1948), 1 – 85 (French). · Zbl 0034.16401
[2] Phillip Griffith, A solution to the splitting mixed group problem of Baer, Trans. Amer. Math. Soc. 139 (1969), 261 – 269. · Zbl 0194.05301
[3] Edwin Hewitt and Kenneth A. Ross, Abstract harmonic analysis. Vol. I, 2nd ed., Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 115, Springer-Verlag, Berlin-New York, 1979. Structure of topological groups, integration theory, group representations. · Zbl 0416.43001
[4] G. Hochschild, Group extensions of Lie groups, Ann. of Math. (2) 54 (1951), 96 – 109. · Zbl 0045.30802
[5] G. Hochschild, Group extensions of Lie groups. II, Ann. of Math. (2) 54 (1951), 537 – 551. · Zbl 0045.30802
[6] K. H. Hofmann and Paul Mostert, Splitting in topological groups, Mem. Amer. Math. Soc. No. 43 (1963), 75. · Zbl 0163.02705
[7] Saunders Mac Lane, Homology, Die Grundlehren der math. Wissenschaften, Band 114, Academic Press, New York, and Springer-Verlag, Berlin, 1963. MR 28 #122. · Zbl 0818.18001
[8] Calvin C. Moore, Extensions and low dimensional cohomology theory of locally compact groups. I, II, Trans. Amer. Math. Soc. 113 (1964), 40 – 63. · Zbl 0131.26902
[9] -, Extensions and low dimensional cohomology theory of locally compact groups. II, Trans. Amer. Math. Soc. 113 (1964), 64-86. MR 30 #2106. · Zbl 0131.26902
[10] Martin Moskowitz, Homological algebra in locally compact abelian groups, Trans. Amer. Math. Soc. 127 (1967), 361 – 404. · Zbl 0149.26302
[11] L. S. Pontryagin, Topological groups, Translated from the second Russian edition by Arlen Brown, Gordon and Breach Science Publishers, Inc., New York-London-Paris, 1966. · Zbl 0022.17104
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