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Article

Title: Almost totally projective groups (English)
Author: Hill, Paul
Author: Ullery, William
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 46
Issue: 2
Year: 1996
Pages: 249-258
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Category: math
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MSC: 20K10
MSC: 20K25
MSC: 20K27
idZBL: Zbl 0870.20035
idMR: MR1388614
DOI: 10.21136/CMJ.1996.127288
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Date available: 2009-09-24T09:56:16Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/127288
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Reference: [AH] U. Albrecht and P. Hill: Butler groups of infinite rank and axiom 3.Czechoslovak Math. J. 37 (1987), 293–309. MR 0882600
Reference: [F] L. Fuchs: Infinite Abelian Groups.vol. II, Academic Press, New York, 1973. Zbl 0257.20035, MR 0349869
Reference: [G] P. Griffith: Infinite Abelian Group Theory.University of Chicago Press, Chicago, 1970. Zbl 0204.35001, MR 0289638
Reference: [H1] P. Hill: On the classification of abelian groups.Photocopied manuscript, 1967.
Reference: [H2] P. Hill: A countability condition for primary groups presented by relations of length two.Bull. Amer. Math. Soc. 75 (1969), 780–782. MR 0246959, 10.1090/S0002-9904-1969-12287-1
Reference: [H3] P. Hill: The third axiom of countability for abelian groups.Proc. Amer. Math. Soc. 82 (1981), 347–350. Zbl 0467.20041, MR 0612716, 10.1090/S0002-9939-1981-0612716-0
Reference: [H4] P. Hill: Isotype subgroups of totally projective groups.Abelian Group Theory, Lecture Notes in Math. 874, Springer-Verlag, New York, 1981, pp. 305–321. Zbl 0466.20028, MR 0645937
Reference: [H5] P. Hill: The classification of N-groups.Houston J. Math. 10 (1984), 43–55. Zbl 0545.20042, MR 0736574
Reference: [H6] P. Hill: A new characterization of totally projective groups of cardinality $\aleph _1$.Proc. Amer. Math. Soc. 123 (1995), 657–662. MR 1291773
Reference: [H7] P. Hill: Units of commutative modular group alghebras.J. Pure and Applied Algebra 94 (1994), 175–181. MR 1282838, 10.1016/0022-4049(94)90031-0
Reference: [HM] P. Hill and C. Megibben: On the theory and classification of abelian $p$-groups.Math. Zeit. 190 (1985), 17–38. MR 0793345, 10.1007/BF01159160
Reference: [HU] P. Hill and W. Ullery: A note on a theorem of May concerning commutative group algebras.Proc. Amer. Math. Soc. 110 (1990), 59–63. MR 1039530, 10.1090/S0002-9939-1990-1039530-4
Reference: [K] G. Karpilovsky: Units of commutative group algebras.Expo. Math. (1990), 247–287. Zbl 0703.16017, MR 1062769
Reference: [M1] W. May: Modular group algebras of simply presented abelian groups.Proc. Amer. Math. Soc. 104 (1988), 403–409. Zbl 0691.20008, MR 0962805, 10.1090/S0002-9939-1988-0962805-2
Reference: [M2] W. May: The direct factor problem for modular group algebras.Contemporary Mathematics 93 (1989), 303–308. MR 1003359, 10.1090/conm/093/1003359
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