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 -groups revisited
Authors:
Roger Hunter and Elbert Walker
Journal:
Proc. Amer. Math. Soc. 82 (1981), 13-18
MSC:
Primary 20K10
MathSciNet review:
603592
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Additional Information
Abstract: We provide a new characterization of  -groups which is used to develop central results of the theory and, in particular, to show that summands of  -groups are  -groups.
- [1]
László
Fuchs, Infinite abelian groups. Vol. II, Academic Press, New
York, 1973. Pure and Applied Mathematics. Vol. 36-II. MR 0349869
(50 #2362)
- [2]
Roger
H. Hunter, Balanced subgroups of abelian
groups, Trans. Amer. Math. Soc. 215 (1976), 81–98. MR 0507068
(58 #22337), http://dx.doi.org/10.1090/S0002-9947-1976-0507068-3
- [3]
Roger
Hunter, Fred
Richman, and Elbert
Walker, Warfield modules, Abelian group theory (Proc. Second
New Mexico State Univ. Conf., Las Cruces, N. M., 1976), Springer, Berlin,
1977, pp. 87–123. Lecture Notes in Math., Vol. 616. MR 0506216
(58 #22041)
- [4]
Toshiko
Koyama, On 𝑝-indicators in
𝐸𝑥𝑡(𝑄/𝑍,𝑇), Hiroshima
Math. J. 8 (1978), no. 1, 211–216. MR 0486211
(58 #5982)
- [5]
Ray
Mines, A family of functors defined on generalized primary
groups, Pacific J. Math. 26 (1968), 349–360. MR 0238958
(39 #318)
- [6]
R.
J. Nunke, Homology and direct sums of countable abelian
groups, Math. Z. 101 (1967), 182–212. MR 0218452
(36 #1538)
- [7]
Fred
Richman and Elbert
A. Walker, Valuated groups, J. Algebra 56
(1979), no. 1, 145–167. MR 527162
(80k:20053), http://dx.doi.org/10.1016/0021-8693(79)90330-2
- [8]
R. O. Stanton,
 -groups (preprint).
- [9]
Elbert
A. Walker, Ulm’s theorem for totally
projective groups, Proc. Amer. Math. Soc.
37 (1973),
387–392. MR 0311805
(47 #367), http://dx.doi.org/10.1090/S0002-9939-1973-0311805-3
- [10]
Kyle
D. Wallace, On mixed groups of torsion-free rank one with totally
projective primary components, J. Algebra 17 (1971),
482–488. MR 0272891
(42 #7772)
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R.
B. Warfield Jr., A classification theorem for abelian
𝑝-groups, Trans. Amer. Math. Soc.
210 (1975),
149–168. MR 0372071
(51 #8288), http://dx.doi.org/10.1090/S0002-9947-1975-0372071-2
- [1]
- L. Fuchs, Infinite abelian groups, vol. II, Academic Press, New York, 1973. MR 0349869 (50:2362)
- [2]
- R. H. Hunter, Balanced subgroups of abelian groups, Trans. Amer. Math. Soc. 215 (1976), 81-98. MR 0507068 (58:22337)
- [3]
- R. Hunter, F. Richman and E. Walker, Warfield modules, Abelian Group Theory, Proc. 2nd New Mexico State Univ. Conf. (1976), Lecture Notes in Math., vol. 616, Springer-Verlag, Berlin and New York, 1977, pp. 87-123. MR 0506216 (58:22041)
- [4]
- T. Koyama, On
 -indicators in  , Hiroshima Math. J. 8 (1978), 211-216. MR 0486211 (58:5982)
- [5]
- R. Mines, A family of functors defined on generalized primary groups, Pacific J. Math. 26 (1968), 349-360. MR 0238958 (39:318)
- [6]
- R. J. Nunke, Homology and direct sums of countable abelian groups, Math. Z. 101 (1967), 182-212. MR 0218452 (36:1538)
- [7]
- F. Richman and E. Walker, Valuated groups, J. Algebra 56 (1979), 145-167. MR 527162 (80k:20053)
- [8]
- R. O. Stanton, -groups (preprint).
- [9]
- E. A. Walker, Ulm's theorem for totally projective
 -groups, Proc. Amer. Math. Soc. 37 (1973), 387-392. MR 0311805 (47:367)
- [10]
- K. D. Wallace, On mixed groups of torsion-free rank one with totally projective primary components, J. Algebra 17 (1971), 482-488. MR 0272891 (42:7772)
- [11]
- R. B. Warfield, Jr., A classification theorem for abelian
 -groups, Trans. Amer. Math. Soc. 210 (1975), 149-168. MR 0372071 (51:8288)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9939-1981-0603592-0
PII:
S 0002-9939(1981)0603592-0
Article copyright:
© Copyright 1981 American Mathematical Society
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