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On the Congruence of Subgroups of Totally Projectives

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

Abstract

Let H and K be subgroups of the abelian p-group G. We say that H and K are congruent over G provided there is an automorphism of G mapping H onto K.

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References

  1. P. Crawley, “An infinite primary abelian group without proper isomorphic subgroups,” Bull. Amer. Math. Soc. 68(1962), 462–467.

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© 1983 Springer-Verlag Berlin Heidelberg

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Hill, P., Megibben, C. (1983). On the Congruence of Subgroups of Totally Projectives. 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_31

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  • DOI: https://doi.org/10.1007/978-3-662-21560-9_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12335-4

  • Online ISBN: 978-3-662-21560-9

  • eBook Packages: Springer Book Archive

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