A duality proof of a theorem of P. Hill
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- by Randall R. Holmes
- Proc. Amer. Math. Soc. 123 (1995), 351-353
- DOI: https://doi.org/10.1090/S0002-9939-1995-1273497-3
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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.References
- Paul Hill, An isomorphism theorem for group pairs of finite abelian groups, Publ. Math. Debrecen 43 (1993), no. 3-4, 343–349. MR 1269962, DOI 10.5486/pmd.1993.1286
- Irving Kaplansky, Infinite abelian groups, University of Michigan Press, Ann Arbor, 1954. MR 0065561
- Leo Zippin, Countable torsion groups, Ann. of Math. (2) 36 (1935), no. 1, 86–99. MR 1503210, DOI 10.2307/1968666
Bibliographic Information
- © Copyright 1995 American Mathematical Society
- 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