Geodesic
Embedding of absolutely free groups into groups $B(m,n,1)$
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2008), pp. 25-33 
V. S. Atabekyan; A. S. Pahlevanyan. Embedding of absolutely free groups into groups $B(m,n,1)$. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2008), pp. 25-33. http://geodesic.mathdoc.fr/item/UZERU_2008_3_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we prove that each countable absolutely free group can be isomorphic embedded into groups$B(m,n,1)$ for arbitrary $m \ge 2$ and odd $n \ge 665$. Thereby is shown that each group $B(m,n,1)$ generates the variety of all groups, and groups $B(m,n,1)$ are non-amenable. Particularly Tarski’s number is equal to $4$.

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