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 
@article{RSMUP_2018__139__261_0,
     author = {Keef, Patrick},
     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},
     address = {Zuerich, Switzerland},
     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/}
}
TY  - JOUR
AU  - Keef, Patrick
TI  - Nunke’s problem for abelian $p$-groups of uncountable length
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2018
SP  - 261
EP  - 281
VL  - 139
PB  - European Mathematical Society Publishing House
PP  - Zuerich, Switzerland
UR  - http://www.numdam.org/articles/10.4171/RSMUP/139-11/
DO  - 10.4171/RSMUP/139-11
ID  - RSMUP_2018__139__261_0
ER  - 
%0 Journal Article
%A Keef, Patrick
%T Nunke’s problem for abelian $p$-groups of uncountable length
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2018
%P 261-281
%V 139
%I European Mathematical Society Publishing House
%C Zuerich, Switzerland
%U http://www.numdam.org/articles/10.4171/RSMUP/139-11/
%R 10.4171/RSMUP/139-11
%F RSMUP_2018__139__261_0
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/

Cité par Sources :