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Separability properties of nilpotent β„š[π‘₯]-powered groups II

  • Stephen Majewicz and Marcos Zyman EMAIL logo
Published/Copyright: August 6, 2024

Abstract

In this paper, we study nilpotent Q ⁒ [ x ] -powered groups that satisfy the following property: for some set of primes πœ” in Q ⁒ [ x ] , every Ο‰ β€² -isolated Q ⁒ [ x ] -subgroup in some family of its Q ⁒ [ x ] -subgroups is finite πœ”-type separable.

Acknowledgements

We wish to thank the referee for the many useful comments, corrections, and suggestions. This work was completed while the second-named author was on sabbatical leave from CUNY-Borough of Manhattan Community College. He wants to thank the CUNY Graduate Center for hosting him as a visitor during the academic year 2023–2024.

  1. Communicated by: Evgenii I. Khukhro

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Received: 2023-12-13
Revised: 2024-06-28
Published Online: 2024-08-06
Published in Print: 2025-01-01

Β© 2024 Walter de Gruyter GmbH, Berlin/Boston

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