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Ext(Q,Z) is the additive group of real numbers
Published online by Cambridge University Press: 17 April 2009
Abstract
Standard homological methods and a theorem of Harrison on cotorsion groups are used to prove the result mentioned.
In this note Z denotes an infinite cyclic group, Q the additive group of rational numbers, Zp ∞ a p–quasicyclie group, and Ip the group of p–adic integers.
Pascual Llorente proves in [3] that Ext(Q,z) is an uncountable group, and gives explicitly a countably infinite subset. Very little extra effort produces the result embodied in the title, as follows.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 1 , Issue 3 , December 1969 , pp. 341 - 343
- Copyright
- Copyright © Australian Mathematical Society 1969
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