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<p>We prove that the quasivariety <i>qF</i>(𝒩<sub>c</sub>) generated by the free non-abelian c-step nilpotent group (<i>c</i> ≥ 4) contains a continuum of quasivarieties. All quasivarieties contained in <i>qF</i>(𝒩<sub>3</sub>) are described.</p>

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The Quasivariety Generated by a Free Nilpotent Group

  • 期刊论文

  • 发表日期：

    2025年11月1日

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  • A. I. Budkin

摘要

We prove that the quasivariety qF(𝒩c) generated by the free non-abelian c-step nilpotent group (c ≥ 4) contains a continuum of quasivarieties. All quasivarieties contained in qF(𝒩3) are described.