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Primitivity rank of elements of free algebras of Schreier varieties

Andrey Klimakov

Faculty of Mechanics and Mathematics, M. V. Lomonosov Moscow State University, Moscow, Russia

https://doi.org/10.1142/S0219498816500365Cited by:2 (Source: Crossref)

Abstract

D. Puder defined the primitivity rank of elements of free groups [Primitive words, free factors and measure preservation, Israel J. Math.201(1) (2014) 25–73], we give a similar definition for free algebras of Schreier varieties and prove properties of a primitivity rank using the properties of the almost primitive elements.

Keywords:

AMSC: 17A50

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