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…