Class close to the class of $n$-abelian groups

V. M. Kotlov

T. G. Shevchenko Kiev State University

Abstract: Properties of classes of groups defined by the identity $(xyx)^n=x^ny^nx^n$ are investigated. For even $n$ an analog of Baer's factorization theorem is proved for periodic $n$-abelian groups.

UDC: 512.4

Received: 19.11.1969

 English version: Mathematical Notes, 1971, 9:1, 24–29

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