Pure extensions of locally compact abelian groups
Rendiconti del Seminario Matematico della Università di Padova, Volume 116  (2006), p. 31-40
@article{RSMUP_2006__116__31_0,
     author = {Loth, Peter},
     title = {Pure extensions of locally compact abelian groups},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {116},
     year = {2006},
     pages = {31-40},
     zbl = {1165.22301},
     mrnumber = {2287341},
     language = {en},
     url = {http://www.numdam.org/item/RSMUP_2006__116__31_0}
}
Loth, Peter. Pure extensions of locally compact abelian groups. Rendiconti del Seminario Matematico della Università di Padova, Volume 116 (2006) , pp. 31-40. http://www.numdam.org/item/RSMUP_2006__116__31_0/

[AA] D. L. Armacost and W. L. Armacost, Uniqueness in structure theorems for LCA groups, Can. J. Math. 30 (1978), pp. 593-599. | MR 578649 | Zbl 0358.22001

[A] D. L. Armacost, The Structure of Locally Compact Abelian Groups, Marcel Dekker Inc., New York, 1981. | MR 637201 | Zbl 0509.22003

[B] J. Braconnier, Sur les groupes topologiques localement compacts, J. Math. Pures Appl., N.S. 27 (1948), pp. 1-85. | MR 25473 | Zbl 0034.16401

[F] L. Fuchs, Infinite Abelian Groups, Vol. I, Academic Press, New York, 1970. | MR 255673 | Zbl 0209.05503

[Fu1] R. O. Fulp, Homological study of purity in locally compact groups, Proc. London Math. Soc. 21 (1970), pp. 501-512. | MR 279229 | Zbl 0222.22004

[Fu2] R. O. Fulp, Splitting locally compact abelian groups, Michigan Math. J. 19 (1972), pp. 47-55. | MR 294559 | Zbl 0229.22005

[FG1] R. O. Fulp and P. Griffith, Extensions of locally compact abelian groups I, Trans. Amer. Math. Soc. 154 (1971), pp. 341-356. | MR 272870 | Zbl 0216.34302

[FG2] R. O. Fulp and P. Griffith, Extensions of locally compact abelian groups II, Trans. Amer. Math. Soc. 154 (1971), pp. 357-363. | MR 272870 | Zbl 0216.34302

[HH] S. Hartman and A. Hulanicki, Les sous-groupes purs et leurs duals, Fund. Math. 45 (1957), pp. 71-77. | MR 92102 | Zbl 0083.25501

[HR] E. Hewitt and K. Ross, Abstract Harmonic Analysis, Vol. I, Second Edition, Springer Verlag, Berlin, 1979. | MR 551496 | Zbl 0416.43001

[K] I. Kaplansky, Infinite Abelian Groups, Revised Edition, Univ. of Michigan Press, Ann Arbor, Michigan, 1969. | MR 233887 | Zbl 0194.04402

[Kh] J. A. Khan, The finite torsion subgroup of an LCA group need not split, Period. Math. Hungar. 31 (1995), pp. 43-44. | MR 1349292 | Zbl 0845.22005

[L1] P. Loth, Topologically pure extensions, Abelian Groups, Rings and Modules, Proceedings of the AGRAM 2000 Conference in Perth, Western Australia, July 9-15, 2000, Contemporary Mathematics 273, American Mathematical Society (2001), pp. 191-201. | MR 1817162 | Zbl 0980.22007

[L2] P. Loth, On pure subgroups of locally compact abelian groups, Arch. Math. 81, (2003), pp. 255-257. | MR 2013255 | Zbl 1037.22006

[M] M. Moskowitz, Homological algebra in locally compact abelian groups, Trans. Amer. Math. Soc. 127 (1967), pp. 361-404. | MR 215016 | Zbl 0149.26302

[R] L. C. Robertson, Connectivity, divisibility and torsion, Trans. Amer. Math. Soc. 128 (1967), pp. 482-505. | MR 217211 | Zbl 0153.04401

[V] N. Vilenkin, Direct decompositions of topological groups I, Mat. Sb., N. S. 19 (61) (1946), pp. 85-154. [English translation from the Russian by E. Hewitt in A.M.S. Translations, Series 1, Volume 23, Providence, Rhode Island (1950).] | MR 17283 | Zbl 0061.04302