3 papers
math.CO2025
On counting numerical semigroups by maximum primitive and Wilf's conjecture
Manuel Delgado, Neeraj Kumar, Claude Marion
We introduce a new way of counting numerical semigroups, namely by their maximum primitive, and show its relation with the counting of numerical semigroups by their Frobenius numbe…
math.GR2024
On profinite groups with the Magnus Property
Claude Marion, Pavel Zalesskii
A group is said to have the Magnus Property (MP) if whenever two elements have the same normal closure then they are conjugate or inverse-conjugate. We show that a profinite MP gro…
math.GR2023
On finite groups with the Magnus Property
Martino Garonzi, Claude Marion
We investigate finite groups with the Magnus Property, where a group is said to have the Magnus Property (MP) if whenever two elements have the same normal closure then they are co…