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Abelian Groups in Which Every Γ-Iso Type Subgroup is an Intersection of Γ′-Isotype Subgroups

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Abelian Group Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1006))

Abstract

All groups in this paper are assumed to be abelian groups, we shall follow the notation and terminology of [6]. In addition, if G is a group then Gt and Gp are the torsion part and the p-component of Gt respectively.

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References

  1. J. Bečvář, Abelian groups in which every pure subgroup is an isotype subgroup, Rend. Sem. Mat. Univ. Padova 62 (1980), 129–136.

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  2. J. Bečvář, Abelian groups in which every Γ-isotype subgroup is a pure subgroup, resp. an isotype subgroup, Rend. Sem. Mat. Univ. Padova 62 (1980), 251–259.

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  3. J. Bečvář, Centers of Γ-isotypity in abelian groups, Rend. Sem. Mat. Univ. Padova 65 (1981), 271–276.

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  4. J. Bečvář., A generalization of a theorem of F.Richman and C.P.Walker, Rend. Sem. Mat. Univ. Padova 66 (1982), 43–55.

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  5. J. Bečvář, Intersections of Γ-isotype subgroups in abelian groups, to appear in Proc. Amer. Math. Soc.

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  6. L. Fuchs, Infinite abelian groups I, II, Academic Press, New York, 1970, 1973.

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  7. J.D. Moore and E.J. Hewett, Abelian groups in which every et-pure subgroup is 43-pure, Can. J. Math. 25 (1973), 560–566.

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  8. K.M. Rangaswamy, Full subgroups of abelian groups, Indian J. Math. 6 (1964), 21–27.

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© 1983 Springer-Verlag Berlin Heidelberg

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Bečvář, J. (1983). Abelian Groups in Which Every Γ-Iso Type Subgroup is an Intersection of Γ′-Isotype Subgroups. In: Göbel, R., Lady, L., Mader, A. (eds) Abelian Group Theory. Lecture Notes in Mathematics, vol 1006. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21560-9_35

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  • DOI: https://doi.org/10.1007/978-3-662-21560-9_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12335-4

  • Online ISBN: 978-3-662-21560-9

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