On a theorem of Paul Hill (Q2704777)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a theorem of Paul Hill |
scientific article |
Statements
12 March 2001
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projective Abelian \(p\)-groups
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torsion groups
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isotype subgroups
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On a theorem of Paul Hill (English)
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A theorem of \textit{P. Hill} [Ill. J. Math. 13, 281-290 (1969; Zbl 0177.04201)] states that any isotype subgroup with countable length of a totally projective Abelian \(p\)-group is totally projective. In this note the author gives a new proof of the theorem of Hill based on his results [in Proc. Am. Math. Soc. 125, No. 9, 2559-2564 (1997; Zbl 0886.16024)].
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