A duality proof of a theorem of P. Hill
Author:
Randall R. Holmes
Journal:
Proc. Amer. Math. Soc. 123 (1995), 351-353
MSC:
Primary 20K01; Secondary 20K30, 20K40
DOI:
https://doi.org/10.1090/S0002-9939-1995-1273497-3
MathSciNet review:
1273497
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Abstract | References | Similar Articles | Additional Information
Abstract: A duality argument is given to prove the equivalence of a recent theorem of P. Hill and the main step in Zippin's proof of Ulm's theorem.
- [1] Paul Hill, An isomorphism theorem for group pairs of finite abelian groups, Publ. Math. Debrecen 43 (1993), no. 3-4, 343–349. MR 1269962
- [2] Irving Kaplansky, Infinite abelian groups, University of Michigan Press, Ann Arbor, 1954. MR 0065561
- [3] Leo Zippin, Countable torsion groups, Ann. of Math. (2) 36 (1935), no. 1, 86–99. MR 1503210, https://doi.org/10.2307/1968666
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1995-1273497-3
Article copyright:
© Copyright 1995
American Mathematical Society
