Separability Properties of Nilpotent $\mathbb{Q}[x]$-Powered Groups II

Fuente: arXiv
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Autori principali: Majewicz, Stephen, Zyman, Marcoz
Natura: Preprint
Pubblicazione: 2024
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author Majewicz, Stephen
Zyman, Marcoz
author_facet Majewicz, Stephen
Zyman, Marcoz
contents In this paper, we study nilpotent $\mathbb{Q}$$[x]$-powered groups that satisfy the following property: For some set of primes $ω$ in $\mathbb{Q}$$[x]$, every $ω'$-isolated $\mathbb{Q}$$[x]$-subgroup in some family of its $\mathbb{Q}$$[x]$-subgroups is finite $ω$-type separable.
format Preprint
id arxiv_https___arxiv_org_abs_2401_03080
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Separability Properties of Nilpotent $\mathbb{Q}[x]$-Powered Groups II
Majewicz, Stephen
Zyman, Marcoz
Group Theory
Primary 20F18, 20F19, 20E26, Secondary 13C12, 13C13, 13G05
In this paper, we study nilpotent $\mathbb{Q}$$[x]$-powered groups that satisfy the following property: For some set of primes $ω$ in $\mathbb{Q}$$[x]$, every $ω'$-isolated $\mathbb{Q}$$[x]$-subgroup in some family of its $\mathbb{Q}$$[x]$-subgroups is finite $ω$-type separable.
title Separability Properties of Nilpotent $\mathbb{Q}[x]$-Powered Groups II
topic Group Theory
Primary 20F18, 20F19, 20E26, Secondary 13C12, 13C13, 13G05
url https://arxiv.org/abs/2401.03080