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Subgroups of p 5-bounded groups

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Abelian Groups and Modules

Part of the book series: Trends in Mathematics ((TM))

Abstract

Each valuated module B with B(5) = 0 is a direct sum of simply presented valuated modules and copies of two valuated modules which come from (finite) hung trees. There are infinite-rank indecomposable valuated modules B with B(6) = 0.

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References

  1. L. Fuchs, Infinite Abelian Groups, Academic Press (1970).

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  2. D. Beers, R. Hunter, F. Richman and E. A. Walker, Computing valuated trees, Abelian Group Theory (Oberwolfach 1986), Gordon and Breach, 65–88.

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© 1999 Springer Basel AG

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Richman, F., Walker, E.A. (1999). Subgroups of p 5-bounded groups. In: Eklof, P.C., Göbel, R. (eds) Abelian Groups and Modules. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7591-2_5

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  • DOI: https://doi.org/10.1007/978-3-0348-7591-2_5

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-7593-6

  • Online ISBN: 978-3-0348-7591-2

  • eBook Packages: Springer Book Archive

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