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

Stephen Majewicz; Marcoz Zyman

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

Group Theory 2024-01-09 v1

Authors: Stephen Majewicz , Marcoz Zyman

Abstract

In this paper, we study nilpotent $\mathbb{Q}$ $[x]$ -powered groups that satisfy the following property: For some set of primes $\omega$ in $\mathbb{Q}$ $[x]$ , every $\omega '$ -isolated $\mathbb{Q}$ $[x]$ -subgroup in some family of its $\mathbb{Q}$ $[x]$ -subgroups is finite $\omega$ -type separable.

Keywords

nilpotent groups finite group theory finite groups

Cite

@article{arxiv.2401.03080,
  title  = {Separability Properties of Nilpotent $\mathbb{Q}[x]$-Powered Groups II},
  author = {Stephen Majewicz and Marcoz Zyman},
  journal= {arXiv preprint arXiv:2401.03080},
  year   = {2024}
}

Comments

18 pages; Submitted to Journal of Group Theory

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