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The Levi classes generated by nilpotent groups

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Abstract

Given an arbitrary class M of groups, denote by L(M) the class of all groups G in which the normal closure of every element belongs to M. Consider the quasivariety q F p generated by the relatively free group in the class of nilpotent groups of length at most 2 with the commutant of exponent p (where p is an odd prime). We describe the Levi class that is generated by qF p.

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Authors and Affiliations

  1. Altai State University, Barnaul, Russia

    V. V. Lodeyshchikova

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  1. V. V. Lodeyshchikova
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Correspondence to V. V. Lodeyshchikova.

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Original Russian Text Copyright © 2010 Lodeyshchikova V. V.

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Lodeyshchikova, V.V. The Levi classes generated by nilpotent groups. Sib Math J 51, 1075–1080 (2010). https://doi.org/10.1007/s11202-010-0105-5

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  • DOI: https://doi.org/10.1007/s11202-010-0105-5

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