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- W2041796715 abstract "We give a description of definable sets $P=(p_1,..., p_m)$ in a free non-abelian group $F$ and in a torsion-free non-elementary hyperbolic group $G$ that follows from our work on the Tarski problems. This answers Malcev's question for $F$. As a corollary we show that proper non-cyclic subgroups of $F$ and $G$ are not definable and prove Bestvina and Feighn's result that definable subsets $P=(p)$ in a free group are either negligible or co-negligible in their terminology." @default.
- W2041796715 created "2016-06-24" @default.
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- W2041796715 date "2011-11-02" @default.
- W2041796715 modified "2023-09-22" @default.
- W2041796715 title "Definable sets in a hyperbolic group" @default.
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