Hill, Paul; Megibben, Charles Extending automorphisms and lifting decompositions in abelian groups. (English) Zbl 0183.03202 Math. Ann. 175, 159-168 (1968). Reviewer: Klaus Latt (Berlin) Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 13 Documents MSC: 20K30 Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups Keywords:abelian group theory; extension of automorphisms; lifting of decompositions Citations:Zbl 0006.15003; Zbl 0011.10401; Zbl 0173.02401; Zbl 0132.27104 PDFBibTeX XMLCite \textit{P. Hill} and \textit{C. Megibben}, Math. Ann. 175, 159--168 (1968; Zbl 0183.03202) Full Text: DOI EuDML References: [1] Freedman, H.: The automorphisms of countable primary reduced abelian groups. Proc. London Math. Soc.12, 77-99 (1962). · Zbl 0105.26002 · doi:10.1112/plms/s3-12.1.77 [2] Fuchs, L.: On the automorphism group of abelianp-groups. Publ. Math. Debrecen7, 122-129 (1960). · Zbl 0094.24701 [3] Hill, P.: Sums of countable primary groups. Proc. Am. Math. Soc.17, 1469-1470 (1966). · Zbl 0158.27405 [4] ??, andC. Megibben: On primary groups with countable basic subgroups. Trans. Am. Math. Soc.124, 49-59 (1966). · Zbl 0146.04203 · doi:10.1090/S0002-9947-1966-0199260-9 [5] Irwin, J. M., andF. Richman: Direct sums of countable groups and related concepts. J. Algebra2, 443-450 (1965). · Zbl 0132.27104 · doi:10.1016/0021-8693(65)90005-0 [6] Kaplasnky, I.: Projective modules. Ann. Math.68, 371-377 (1958). [7] – Infinite abelian groups. Ann. Arbor: 1954. · Zbl 0057.01901 [8] Kolettis, G.: Direct sums of countable groups. Duke Math. J.27, 111-125 (1960). · Zbl 0091.02802 · doi:10.1215/S0012-7094-60-02711-3 [9] Megibben, C.: Large subgroups and small homomorphisms. Michigan J. Math.13, 153-160 (1966). · Zbl 0166.02502 · doi:10.1307/mmj/1028999539 [10] Nunke, R. J.: Homology and direct sums of countable abelian groups (to appear). · Zbl 0173.02401 [11] Ulm, H.: Zur Theorie der abzählbar-unendlichen abelschen Gruppen. Math. Ann.107, 774-803 (1933). · JFM 59.0143.03 · doi:10.1007/BF01448919 [12] Zippin, L.: Countable torsion groups. Ann. Math.36, 86-99 (1935). · Zbl 0011.10401 · doi:10.2307/1968666 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.