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Mixed Groups of Finite Nilstufe

Published online by Cambridge University Press:  20 November 2018

George V. Wilson
George V. Wilson*
Affiliation:
Department of Mathematics University of Georgia Athens, GA 30602
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Abstract

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This paper constructs a class of examples to show that for torsion-free groups H with finite nilstufe v(H) = n < ∞ there can be divisible torsion groups D with v(H ⊕ D) - n + k for all k ≤ n + 1. This answers a question of Feigelstock. The construction is based on a proposition which bounds v(H ⊕ D) in terms of v(H) and rank (D).

Keywords

20K99
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 30 , Issue 2 , 01 June 1987 , pp. 255 - 256
Copyright
Copyright © Canadian Mathematical Society 1987

References

1. Feigelstock, S., Additive Groups of Rings, Pitman Pub., London, 1983.Google Scholar