The equivalence of and

Author:
Ronald Hirshon

Journal:
Trans. Amer. Math. Soc. **249** (1979), 331-340

MSC:
Primary 20F99

DOI:
https://doi.org/10.1090/S0002-9947-1979-0525676-3

MathSciNet review:
525676

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Abstract: Let *C* satisfy the maximal condition for normal subgroups and let for some positive integer *t*. Then where *J* is the infinite cyclic group. If and , there exists a finitely generated free abelian group *S* such that *C* is a direct factor of .

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1979-0525676-3

Keywords:
J replacement,
cancelation

Article copyright:
© Copyright 1979
American Mathematical Society