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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The abelianization of almost free groups


Author: Charly Bitton
Journal: Proc. Amer. Math. Soc. 129 (2001), 1799-1803
MSC (1991): Primary 03E75, 03E05, 20K27
Published electronically: November 21, 2000
MathSciNet review: 1814113
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Abstract:

We will construct an almost free non-free group $G$ of cardinality $\aleph_{1}$ such that $G/G^{\prime}$ is a free abelian group.


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Additional Information

Charly Bitton
Affiliation: Institute of Mathematics, Hebrew University, Jerusalem, Israel
Address at time of publication: Department of Mathematics, University of California, Irvine, California 92679
Email: cbitton@math.uci.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-00-05730-0
PII: S 0002-9939(00)05730-0
Received by editor(s): May 5, 1999
Received by editor(s) in revised form: October 5, 1999
Published electronically: November 21, 2000
Additional Notes: This is part of the author’s Ph.D. thesis done under the supervision of Professor M. Magidor to whom the author is greatly indebted for his help.
Communicated by: Carl G. Jockusch, Jr.
Article copyright: © Copyright 2000 American Mathematical Society