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Essentially C-indecomposable pω+n-Projective p-Groups

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Abelian Groups and Modules

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 287))

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Abstract

In Cutler and Missel1, a class of examples of pω+2-projective p-groups is constructed having the property

  1. (1)

    every summand that is a direct sum of cyclic groups must be bounded.

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References

  1. Cutler, D. and C. Missel, The Structure of C-decomposable pω+n -projective abelian p-groups. Communications in Algebra, 12, 301, 1984.

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  2. Fuchs, L., Infinite Abelian Groups, Vol. 1 and 2, Academic Press, New York, 1970 and 1973.

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  3. Fuchs, L. and J. Irwin, On p -projective p-groups, Proc. London Math. Soc., 30, 459, 1975.

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  4. Fuchs, L., On p -projective abelian p-groups, Publ, Math. Debrecen, 23, 309, 1976.

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  5. Richman, Fred, A guide to valuated groups, in Lecture Notes in Mathematics, 616, Springer Verlag, 1977.

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© 1984 Springer-Verlag Wien

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Cutler, D. (1984). Essentially C-indecomposable pω+n-Projective p-Groups. In: Göbel, R., Metelli, C., Orsatti, A., Salce, L. (eds) Abelian Groups and Modules. International Centre for Mechanical Sciences, vol 287. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2814-5_5

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  • DOI: https://doi.org/10.1007/978-3-7091-2814-5_5

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-81847-3

  • Online ISBN: 978-3-7091-2814-5

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