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Preprint Number 1683

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1683. Montserrat Casals-Ruiz, Albert Garreta, Ilya Kazachkov, Javier de la Nuez González
Simple groups with infinite verbal width and the same positive theory as free groups

Submission date: 5 November 2019


In this paper we show that there exists an uncountable family of finitely generated simple groups with the same positive theory as any non-abelian free group. In particular, these simple groups have infinite w-verbal width for all non-trivial words w.

Mathematics Subject Classification: 20E32, 20E06, 20F65

Keywords and phrases:

Full text arXiv 1911.02117: pdf, ps.

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