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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…
Some generalisations of Schur's and Baer's theorem and their connection with homological algebra
Guram Donadze, Xabier García-Martínez
Schur's Theorem and its generalisation, Baer's Theorem, are distinguished results in group theory, connecting the upper central quotients with the lower central series. The aim of…
On finite-by-nilpotent groups
Eloisa Detomi, Guram Donadze, Marta Morigi +1
Let be the th lower central word. Denote by the set of -values in a group and suppose that there is a number such that …
On some closure properties of the non-abelian tensor product and the Bogomolov multiplier
Guram Donadze, Manuel Ladra, Viji Thomas
We prove that the class of nilpotent by finite, solvable by finite, polycyclic by finite, nilpotent of nilpotency class and supersolvable groups are closed under the formation…
On the second stable homotopy group of the Eilenberg-Maclane space and the Schur Multiplier
A. E. Antony, G. Donadze, V. Prasad +1
We prove that for a finitely generated group , the second stable homotopy group of the Eilenberg-Maclane space is completely determined by the Schur mul…