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Transactions of the American Mathematical Society

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On the structure of primary abelian groups of countable Ulm type


Author: Doyle O. Cutler
Journal: Trans. Amer. Math. Soc. 152 (1970), 503-518
MSC: Primary 20.30
MathSciNet review: 0276330
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Abstract: In this paper we will give structure theorems for abelian $ p$-groups of countable Ulm type utilizing the notion of high subgroup introduced by John M. Irwin and its generalization, $ N$-high subgroup, introduced by Irwin and E. A. Walker. The general technique employed is to give conditions under which automorphisms of these subgroups extend to automorphisms of the group.


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DOI: https://doi.org/10.1090/S0002-9947-1970-0276330-9
Keywords: Structure of primary abelian groups, countable Ulm type, high subgroup, $ N$-high subgroup
Article copyright: © Copyright 1970 American Mathematical Society