Two-variable identities for finite solvable groups Identités en deux variables pour les groupes résolubles finis

Tatiana Bandman, Gert-Martin Greuel, Fritz Grunewald, Boris Kunyavskii, Gerhard Pfister, Eugene Plotkin

Research output: Contribution to journalArticlepeer-review

Abstract

We characterise the solvable groups in the class of finite groups by an inductively defined sequence of two-variable identities. Our main theorem is the analogue of a classical theorem of Zorn which gives a characterisation of the nilpotent groups in the class of finite groups by a sequence of two-variable identities
Original languageAmerican English
Pages (from-to)581-586
JournalComptes Rendus Mathematique
Volume337
Issue number9
DOIs
StatePublished - 2003

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