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The fully invariant subgroups of local Warfield groups
Author(s):
Steve
T.
Files
Journal:
Proc. Amer. Math. Soc.
125
(1997),
3515-3518.
MSC (1991):
Primary 20K27, 20K21;
Secondary 20K30
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Abstract:
We prove that every fully invariant subgroup of a  -local Warfield abelian group is the direct sum of a Warfield group and an  -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.
References:
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Additional Information:
Steve
T.
Files
Affiliation:
Department of Mathematics, Wesleyan University, Middletown, Connecticut 06459
Email:
sfiles@wesleyan.edu
DOI:
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
Copyright of article:
Copyright
1997,
American Mathematical Society
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