Nunke’s problem for abelian p-groups of uncountable length
Keef, Patrick1
1 Whitman College, Walla Walla, USA
Rendiconti del Seminario Matematico della Università di Padova, Tome 139 (2018), pp. 261-281.

Nunke's problem asks when the torsion product of two abelian p-groups is a direct sum of countable reduced groups. In previous work the author gave a complete answer to this question when the groups involved have countable length. In this paper a complete answer is given in the case of groups of uncountable length, at least in any set-theoretic universe in which 2 ℵ 1 =ℵ 2 .

Publié le :
DOI : 10.4171/RSMUP/139-11
Classification : 20
Mots clés : Nunke’s problem, abelian $p$-groups, dsc groups
Keef, Patrick 1

1 Whitman College, Walla Walla, USA 
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     title = {Nunke{\textquoteright}s problem for abelian $p$-groups of uncountable length},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {261--281},
     publisher = {European Mathematical Society Publishing House},
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     volume = {139},
     year = {2018},
     doi = {10.4171/RSMUP/139-11},
     mrnumber = {3825190},
     zbl = {1429.20036},
     url = {http://www.numdam.org/articles/10.4171/RSMUP/139-11/}
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Keef, Patrick. Nunke’s problem for abelian $p$-groups of uncountable length. Rendiconti del Seminario Matematico della Università di Padova, Tome 139 (2018), pp. 261-281. doi : 10.4171/RSMUP/139-11. http://www.numdam.org/articles/10.4171/RSMUP/139-11/

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