Dehn functions and the space of marked groups
Shahryari, M.
Original · EN
In the space of marked group, we suppose that a sequence (Gᵢ, Xᵢ) converges to (G,X), where G is finitely presented. We obtain an inequality which connects Dehn functions of Gᵢs and G. As a result, we show that if a sequence (K, Xᵢ) converges to a hyperbolic marked group, then K is already hyperbolic.
English translation
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