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noetherian group

Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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1 results

Schur's theorem and its relation to the closure properties of the non-abelian tensor product
Part of
- Homological algebra
G. Donadze, M. Ladra, P. Páez-Guillán
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 150 / Issue 2 / April 2020

Published online by Cambridge University Press:

26 January 2019, pp. 993-1002

Print publication:

April 2020
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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) group and a Noetherian group is a polycyclic (resp. polycyclic-by-finite) group. We also prove new versions of Schur's theorem.