A duality proof of a theorem of P. Hill

Holmes, Randall R.

doi:10.1090/S0002-9939-1995-1273497-3

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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A duality proof of a theorem of P. Hill
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Proc. Amer. Math. Soc. 123 (1995), 351-353 Request permission

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
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