Some problems in number theory that arise from group theory
This is a survey paper on group-theoretic problems which arise in number theory. In particular, the problems are on arithmetical functions and partitions. One of the more palatable open conjectures is that for primes \(p\neq q\), \((q^q-1)/(p-1)\) never divides \((q^p-1)/(q-1)\) to which an affirmative answer would simplify the proof of Feit and Thompson on the solvability of odd order groups.
scientific article; zbMATH DE number 5562420