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Schur's theorem and its relation to the closure properties of the non-abelian tensor product
Published online by Cambridge University Press: 26 January 2019
Abstract
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.
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 150 , Issue 2 , April 2020 , pp. 993 - 1002
- Copyright
- Copyright © Royal Society of Edinburgh 2019
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