On critical groups

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1992 English Publisher:Springer Science and Business Media LLCJournal:Siberian Mathematical Journal, volume 33, pages 158-159 (issn: 0037-4466, eissn: 1573-9260,

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Authors: Vedernikov, V. A.;

doi: 10.1007/bf00972949

On critical groups

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Abstract

An elementary proof of lemma 52.23 of \textit{H. Neumann} [Varieties of groups (1967; Zbl 0251.20001)] is given, which has a central place in obtaining the fact that the identities of a finite group have a finite basis.

Keywords

finite basis, finite group, Quasivarieties and varieties of groups, identities

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