Kourovka Notebook Problem 17.122

Definitions and mathematical statement

An abelian group is a group $G$ satisfying $xy=yx$ for every $x,y\in G$.

The supplied statement of Kourovka Notebook Problem 17.122 is: "The same questions as 17.121 for an abelian group $G$." Thus the requested problem transfers the questions of Problem 17.121 to the setting of abelian groups. However, the supplied record does not contain Problem 17.121. Its questions, additional hypotheses, parameters, and quantifiers cannot be recovered from this record. Consequently, a complete mathematical statement cannot be given without the referenced problem; the definition above specifies only the explicitly supplied restriction on $G$.

Short English statement

State the questions of Kourovka Notebook Problem 17.121 for an abelian group $G$. The referenced questions are missing, so the intended mathematical target remains unresolved.

Sources

• Supplied local UnsolvedMath registry record, permanent ID $701423$, exact source problem code catalogue entry, upstream revision d371ee917ac9647fbb06cd6fc529deec6f3dda82.
• The record attributes Problem 17.122 to S. Shelah, proposed in 2010, and cites The Kourovka Notebook (Unsolved Problems in Group Theory), 17th issue (2010), and the 21st issue edition (2026), identified as arXiv:1401.0300v48. The supplied collection description names E. I. Khukhro and V. D. Mazurov as editors.
• The essential cross-reference is Kourovka Notebook Problem 17.121, whose text is absent from the supplied record. The supplied status is open; this label and the bibliographic identification have not been independently verified.