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Publications > Preprint server > Preprint Number 1683
Preprint Number 1683
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 E-mail: Submission date: 5 November 2019 Abstract: 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: |
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