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Title: Schichtengleiche Gewichte und Butlergruppen (German)
Title: Groups with equal layers and Butler groups (English)
Author: Müller, Edgar
Author: Mutzbauer, Otto
Language: German
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 47
Issue: 2
Year: 1997
Pages: 193-204
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Category: math
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MSC: 20K15
MSC: 20K27
idZBL: Zbl 0931.20042
idMR: MR1452415
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Date available: 2009-09-24T10:04:08Z
Last updated: 2020-07-03
Stable URL: http://hdl.handle.net/10338.dmlcz/127351
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Reference: [1] D. M. Arnold: Pure subgroups of finite rank completely decomposable groups.Lect. Notes Math. 874, 1981, pp. 1–31. Zbl 0466.20030, MR 0645913
Reference: [2] Birkhoff: Lattice Theory.Amer. Math. Soc. Coll. Publ. Vol XXV, 1948. Zbl 0033.10103
Reference: [3] L. Fuchs: Infinite abelian groups I+II.Academic Press, 1970, 1973.
Reference: [4] H. P. Goeters, C. Vinsonhaler and W. Wickless: Hypertypes of torsion-free abelian groups of finite rank.Bull. Austral. Math. Soc. 39 (1989), 21–24. MR 0976256, 10.1017/S0004972700027945
Reference: [5] O. Mutzbauer: Type graph.Lect. Notes Math. 1006, 1983, pp. 228–252. Zbl 0542.20032, MR 0722621
Reference: [6] O. Mutzbauer: Type Invariants of torsion-free abelian groups.Abelian Group Theory, Proc. Perth, Contemp. Math. 87 (1989), 133–154. Zbl 0677.20042, MR 0995271, 10.1090/conm/087/995271
Reference: [7] E. Müller und O. Mutzbauer: Das Gewicht einer Butlergruppe.Math. Z. 216 (1994), 69–82. MR 1273466, 10.1007/BF02572309
Reference: [8] F. Richman: A class of rank 2 torsion-free groups.Studies on Abelian Groups, Paris, 1968, pp. 327–333. Zbl 0182.04103, MR 0244380
Reference: [9] R. B. Warfield Jr.: Homomorphisms and duality for torsion-free groups.Math. Z. 107 (1968), 189–200. Zbl 0169.03602, MR 0237642, 10.1007/BF01110257
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