2 papers
math.NT2026
On the factorizations of integers via division algorithms for polynomials
Guram Donadze, Adrian Vasiu
We introduce and study several conditions related to the factorization problem of composite numbers. For this purpose, we employ cyclotomic polynomials, Sylvester resultants, and t…
math.GR2026
Schur's theorem and its relation to the closure properties of the non-abelian tensor product
Guram Donadze, Manuel Ladra, Pilar Páez-Guillán
We show that the Schur multiplier of a Noetherian group need not be finitely generated. We prove that the non-abelian tensor product of a polycyclic (resp. polycyclic-by-finite) gr…