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The constructive theory
of countable abelian p-groups
Fred Richman |
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Vol. 45 (1973), No. 2, 621–637
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Abstract |
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The purpose of this paper is to develop the theory of abelian p-groups along constructive lines. To this end a constructive theory of ordinal numbers and an axiomatic treatment of the notion of height are presented. The classical theorems of Zippin and Ulm concerning existence and uniqueness of countable p-groups with prescribed invariants are proved in a finitistic setting. |
Mathematical Subject Classification 2000
Primary: 02E05
Secondary: 20E15
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Milestones
Received: 2 December 1971
Revised: 18 January 1973
Published: 1 April 1973
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Authors |
| Fred Richman | |
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