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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 fully invariant subgroups
of local Warfield groups


Author: Steve T. Files
Journal: Proc. Amer. Math. Soc. 125 (1997), 3515-3518
MSC (1991): Primary 20K27, 20K21; Secondary 20K30
MathSciNet review: 1416084
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Abstract: We prove that every fully invariant subgroup of a $p$-local Warfield abelian group is the direct sum of a Warfield group and an $S$-group. This solves a problem posed some time ago by R. B. Warfield, and finalizes recent work of M. Lane concerning the fully invariant subgroups of balanced projective groups.


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Additional Information

Steve T. Files
Email: sfiles@wesleyan.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-97-03999-3
PII: S 0002-9939(97)03999-3
Received by editor(s): June 30, 1995
Received by editor(s) in revised form: July 18, 1996
Additional Notes: The author was supported by the Graduiertenkolleg of the University of Essen
Communicated by: Andreas R. Blass
Article copyright: © Copyright 1997 American Mathematical Society