Kourovka 18.50: Number of distinct permuted products

Can n distinct group elements have exactly k permuted products, for each 1 ≤ k ≤ n!?

Jul 2026

Model / AI: Aristotle

verifiedmachine-checked

A construction for each k is reported. Aristotle supplied the argument; human authors prepared the paper.

Source read 2026-09-08. Read the linked source to identify this individual result and its attribution; proofs were not independently checked.