On the structure of primary abelian groups of countable Ulm type

Cutler, Doyle O.

doi:10.1090/S0002-9947-1970-0276330-9

On the structure of primary abelian groups of countable Ulm type
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Trans. Amer. Math. Soc. 152 (1970), 503-518 Request permission

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.

References

General topology

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